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Finding the Third Proportional to 31,717 and 69,711

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Solution

The third proportional to 31,717 and 69,711 is: 153,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717 : 69,711 = 69,711 : x
  2. Step 2: Convert to fraction form
    31,717/69,711 = 69,711/x
  3. Step 3: Cross multiply
    31,717x = 69,711 × 69,711
  4. Step 4: Simplify right side
    31,717x = 4,859,623,521
  5. Step 5: Solve for x
    x = 4,859,623,521/31,717
  6. Step 6: Final answer
    x = 153,218.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.