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Finding the Third Proportional to 7,344 and 8,677.13

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Solution

The third proportional to 7,344 and 8,677.13 is: 10,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344 : 8,677.13 = 8,677.13 : x
  2. Step 2: Convert to fraction form
    7,344/8,677.13 = 8,677.13/x
  3. Step 3: Cross multiply
    7,344x = 8,677.13 × 8,677.13
  4. Step 4: Simplify right side
    7,344x = 75,292,498.27
  5. Step 5: Solve for x
    x = 75,292,498.27/7,344
  6. Step 6: Final answer
    x = 10,252.25

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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.