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Finding the Third Proportional to 25,867 and 56,472.50

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Solution

The third proportional to 25,867 and 56,472.50 is: 123,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867 : 56,472.50 = 56,472.50 : x
  2. Step 2: Convert to fraction form
    25,867/56,472.50 = 56,472.50/x
  3. Step 3: Cross multiply
    25,867x = 56,472.50 × 56,472.50
  4. Step 4: Simplify right side
    25,867x = 3,189,143,256.25
  5. Step 5: Solve for x
    x = 3,189,143,256.25/25,867
  6. Step 6: Final answer
    x = 123,290.03

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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.