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Finding the Third Proportional to 24,683 and 39,257

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Solution

The third proportional to 24,683 and 39,257 is: 62,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683 : 39,257 = 39,257 : x
  2. Step 2: Convert to fraction form
    24,683/39,257 = 39,257/x
  3. Step 3: Cross multiply
    24,683x = 39,257 × 39,257
  4. Step 4: Simplify right side
    24,683x = 1,541,112,049
  5. Step 5: Solve for x
    x = 1,541,112,049/24,683
  6. Step 6: Final answer
    x = 62,436.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.