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Finding the Third Proportional to 8,624 and 9,380

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Solution

The third proportional to 8,624 and 9,380 is: 10,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624 : 9,380 = 9,380 : x
  2. Step 2: Convert to fraction form
    8,624/9,380 = 9,380/x
  3. Step 3: Cross multiply
    8,624x = 9,380 × 9,380
  4. Step 4: Simplify right side
    8,624x = 87,984,400
  5. Step 5: Solve for x
    x = 87,984,400/8,624
  6. Step 6: Final answer
    x = 10,202.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.