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Finding the Third Proportional to 25,542 and 39,449

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Solution

The third proportional to 25,542 and 39,449 is: 60,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 39,449 = 39,449 : x
  2. Step 2: Convert to fraction form
    25,542/39,449 = 39,449/x
  3. Step 3: Cross multiply
    25,542x = 39,449 × 39,449
  4. Step 4: Simplify right side
    25,542x = 1,556,223,601
  5. Step 5: Solve for x
    x = 1,556,223,601/25,542
  6. Step 6: Final answer
    x = 60,928.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.