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Finding the Third Proportional to 9,624 and 15,711

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Solution

The third proportional to 9,624 and 15,711 is: 25,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 15,711 = 15,711 : x
  2. Step 2: Convert to fraction form
    9,624/15,711 = 15,711/x
  3. Step 3: Cross multiply
    9,624x = 15,711 × 15,711
  4. Step 4: Simplify right side
    9,624x = 246,835,521
  5. Step 5: Solve for x
    x = 246,835,521/9,624
  6. Step 6: Final answer
    x = 25,647.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.