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Finding the Third Proportional to 7,522 and 11,711

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Solution

The third proportional to 7,522 and 11,711 is: 18,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 11,711 = 11,711 : x
  2. Step 2: Convert to fraction form
    7,522/11,711 = 11,711/x
  3. Step 3: Cross multiply
    7,522x = 11,711 × 11,711
  4. Step 4: Simplify right side
    7,522x = 137,147,521
  5. Step 5: Solve for x
    x = 137,147,521/7,522
  6. Step 6: Final answer
    x = 18,232.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.