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Finding the Third Proportional to 25,659 and 39,413

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Solution

The third proportional to 25,659 and 39,413 is: 60,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 39,413 = 39,413 : x
  2. Step 2: Convert to fraction form
    25,659/39,413 = 39,413/x
  3. Step 3: Cross multiply
    25,659x = 39,413 × 39,413
  4. Step 4: Simplify right side
    25,659x = 1,553,384,569
  5. Step 5: Solve for x
    x = 1,553,384,569/25,659
  6. Step 6: Final answer
    x = 60,539.56

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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.