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Finding the Third Proportional to 25,911.77 and 56,513.64

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Solution

The third proportional to 25,911.77 and 56,513.64 is: 123,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.77 : 56,513.64 = 56,513.64 : x
  2. Step 2: Convert to fraction form
    25,911.77/56,513.64 = 56,513.64/x
  3. Step 3: Cross multiply
    25,911.77x = 56,513.64 × 56,513.64
  4. Step 4: Simplify right side
    25,911.77x = 3,193,791,135.18
  5. Step 5: Solve for x
    x = 3,193,791,135.18/25,911.77
  6. Step 6: Final answer
    x = 123,256.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.