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Finding the Third Proportional to 15,920 and 34,902

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Solution

The third proportional to 15,920 and 34,902 is: 76,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 34,902 = 34,902 : x
  2. Step 2: Convert to fraction form
    15,920/34,902 = 34,902/x
  3. Step 3: Cross multiply
    15,920x = 34,902 × 34,902
  4. Step 4: Simplify right side
    15,920x = 1,218,149,604
  5. Step 5: Solve for x
    x = 1,218,149,604/15,920
  6. Step 6: Final answer
    x = 76,516.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.