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Finding the Third Proportional to 8,042 and 9,482

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Solution

The third proportional to 8,042 and 9,482 is: 11,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042 : 9,482 = 9,482 : x
  2. Step 2: Convert to fraction form
    8,042/9,482 = 9,482/x
  3. Step 3: Cross multiply
    8,042x = 9,482 × 9,482
  4. Step 4: Simplify right side
    8,042x = 89,908,324
  5. Step 5: Solve for x
    x = 89,908,324/8,042
  6. Step 6: Final answer
    x = 11,179.85

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.