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Finding the Third Proportional to 8,644 and 9,604

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Solution

The third proportional to 8,644 and 9,604 is: 10,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644 : 9,604 = 9,604 : x
  2. Step 2: Convert to fraction form
    8,644/9,604 = 9,604/x
  3. Step 3: Cross multiply
    8,644x = 9,604 × 9,604
  4. Step 4: Simplify right side
    8,644x = 92,236,816
  5. Step 5: Solve for x
    x = 92,236,816/8,644
  6. Step 6: Final answer
    x = 10,670.62

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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.