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Finding the Third Proportional to 15,920 and 29,554

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Solution

The third proportional to 15,920 and 29,554 is: 54,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 29,554 = 29,554 : x
  2. Step 2: Convert to fraction form
    15,920/29,554 = 29,554/x
  3. Step 3: Cross multiply
    15,920x = 29,554 × 29,554
  4. Step 4: Simplify right side
    15,920x = 873,438,916
  5. Step 5: Solve for x
    x = 873,438,916/15,920
  6. Step 6: Final answer
    x = 54,864.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.