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Finding the Third Proportional to 8,442 and 9,343.13

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Solution

The third proportional to 8,442 and 9,343.13 is: 10,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442 : 9,343.13 = 9,343.13 : x
  2. Step 2: Convert to fraction form
    8,442/9,343.13 = 9,343.13/x
  3. Step 3: Cross multiply
    8,442x = 9,343.13 × 9,343.13
  4. Step 4: Simplify right side
    8,442x = 87,293,984.77
  5. Step 5: Solve for x
    x = 87,293,984.77/8,442
  6. Step 6: Final answer
    x = 10,340.44

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.