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Finding the Third Proportional to 24,938 and 57,737

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Solution

The third proportional to 24,938 and 57,737 is: 133,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938 : 57,737 = 57,737 : x
  2. Step 2: Convert to fraction form
    24,938/57,737 = 57,737/x
  3. Step 3: Cross multiply
    24,938x = 57,737 × 57,737
  4. Step 4: Simplify right side
    24,938x = 3,333,561,169
  5. Step 5: Solve for x
    x = 3,333,561,169/24,938
  6. Step 6: Final answer
    x = 133,673.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.