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Finding the Third Proportional to 7,523 and 10,149

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Solution

The third proportional to 7,523 and 10,149 is: 13,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523 : 10,149 = 10,149 : x
  2. Step 2: Convert to fraction form
    7,523/10,149 = 10,149/x
  3. Step 3: Cross multiply
    7,523x = 10,149 × 10,149
  4. Step 4: Simplify right side
    7,523x = 103,002,201
  5. Step 5: Solve for x
    x = 103,002,201/7,523
  6. Step 6: Final answer
    x = 13,691.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.