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Finding the Third Proportional to 26,298.75 and 57,005.63

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Solution

The third proportional to 26,298.75 and 57,005.63 is: 123,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298.75 : 57,005.63 = 57,005.63 : x
  2. Step 2: Convert to fraction form
    26,298.75/57,005.63 = 57,005.63/x
  3. Step 3: Cross multiply
    26,298.75x = 57,005.63 × 57,005.63
  4. Step 4: Simplify right side
    26,298.75x = 3,249,641,281.64
  5. Step 5: Solve for x
    x = 3,249,641,281.64/26,298.75
  6. Step 6: Final answer
    x = 123,566.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.