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Finding the Third Proportional to 8,520 and 9,636

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Solution

The third proportional to 8,520 and 9,636 is: 10,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520 : 9,636 = 9,636 : x
  2. Step 2: Convert to fraction form
    8,520/9,636 = 9,636/x
  3. Step 3: Cross multiply
    8,520x = 9,636 × 9,636
  4. Step 4: Simplify right side
    8,520x = 92,852,496
  5. Step 5: Solve for x
    x = 92,852,496/8,520
  6. Step 6: Final answer
    x = 10,898.18

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.