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Finding the Third Proportional to 7,486 and 8,542

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Solution

The third proportional to 7,486 and 8,542 is: 9,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 8,542 = 8,542 : x
  2. Step 2: Convert to fraction form
    7,486/8,542 = 8,542/x
  3. Step 3: Cross multiply
    7,486x = 8,542 × 8,542
  4. Step 4: Simplify right side
    7,486x = 72,965,764
  5. Step 5: Solve for x
    x = 72,965,764/7,486
  6. Step 6: Final answer
    x = 9,746.96

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.