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Finding the Third Proportional to 25,938 and 57,924

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Solution

The third proportional to 25,938 and 57,924 is: 129,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,938 : 57,924 = 57,924 : x
  2. Step 2: Convert to fraction form
    25,938/57,924 = 57,924/x
  3. Step 3: Cross multiply
    25,938x = 57,924 × 57,924
  4. Step 4: Simplify right side
    25,938x = 3,355,189,776
  5. Step 5: Solve for x
    x = 3,355,189,776/25,938
  6. Step 6: Final answer
    x = 129,354.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.