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Finding the Third Proportional to 7,532 and 10,942

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Solution

The third proportional to 7,532 and 10,942 is: 15,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532 : 10,942 = 10,942 : x
  2. Step 2: Convert to fraction form
    7,532/10,942 = 10,942/x
  3. Step 3: Cross multiply
    7,532x = 10,942 × 10,942
  4. Step 4: Simplify right side
    7,532x = 119,727,364
  5. Step 5: Solve for x
    x = 119,727,364/7,532
  6. Step 6: Final answer
    x = 15,895.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.