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Finding the Third Proportional to 24,895 and 39,439

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Solution

The third proportional to 24,895 and 39,439 is: 62,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,895 : 39,439 = 39,439 : x
  2. Step 2: Convert to fraction form
    24,895/39,439 = 39,439/x
  3. Step 3: Cross multiply
    24,895x = 39,439 × 39,439
  4. Step 4: Simplify right side
    24,895x = 1,555,434,721
  5. Step 5: Solve for x
    x = 1,555,434,721/24,895
  6. Step 6: Final answer
    x = 62,479.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.