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Finding the Third Proportional to 8,523 and 9,747

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Solution

The third proportional to 8,523 and 9,747 is: 11,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 9,747 = 9,747 : x
  2. Step 2: Convert to fraction form
    8,523/9,747 = 9,747/x
  3. Step 3: Cross multiply
    8,523x = 9,747 × 9,747
  4. Step 4: Simplify right side
    8,523x = 95,004,009
  5. Step 5: Solve for x
    x = 95,004,009/8,523
  6. Step 6: Final answer
    x = 11,146.78

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.