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Finding the Third Proportional to 7,549 and 8,644

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Solution

The third proportional to 7,549 and 8,644 is: 9,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549 : 8,644 = 8,644 : x
  2. Step 2: Convert to fraction form
    7,549/8,644 = 8,644/x
  3. Step 3: Cross multiply
    7,549x = 8,644 × 8,644
  4. Step 4: Simplify right side
    7,549x = 74,718,736
  5. Step 5: Solve for x
    x = 74,718,736/7,549
  6. Step 6: Final answer
    x = 9,897.83

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.