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Finding the Third Proportional to 25,737.75 and 37,918.13

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Solution

The third proportional to 25,737.75 and 37,918.13 is: 55,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.75 : 37,918.13 = 37,918.13 : x
  2. Step 2: Convert to fraction form
    25,737.75/37,918.13 = 37,918.13/x
  3. Step 3: Cross multiply
    25,737.75x = 37,918.13 × 37,918.13
  4. Step 4: Simplify right side
    25,737.75x = 1,437,784,203.52
  5. Step 5: Solve for x
    x = 1,437,784,203.52/25,737.75
  6. Step 6: Final answer
    x = 55,862.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.