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Finding the Third Proportional to 8,164 and 13,902

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Solution

The third proportional to 8,164 and 13,902 is: 23,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164 : 13,902 = 13,902 : x
  2. Step 2: Convert to fraction form
    8,164/13,902 = 13,902/x
  3. Step 3: Cross multiply
    8,164x = 13,902 × 13,902
  4. Step 4: Simplify right side
    8,164x = 193,265,604
  5. Step 5: Solve for x
    x = 193,265,604/8,164
  6. Step 6: Final answer
    x = 23,672.91

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.