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Finding the Third Proportional to 10,286 and 24,792

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Solution

The third proportional to 10,286 and 24,792 is: 59,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286 : 24,792 = 24,792 : x
  2. Step 2: Convert to fraction form
    10,286/24,792 = 24,792/x
  3. Step 3: Cross multiply
    10,286x = 24,792 × 24,792
  4. Step 4: Simplify right side
    10,286x = 614,643,264
  5. Step 5: Solve for x
    x = 614,643,264/10,286
  6. Step 6: Final answer
    x = 59,755.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.