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Finding the Third Proportional to 7,514 and 8,522

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Solution

The third proportional to 7,514 and 8,522 is: 9,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 8,522 = 8,522 : x
  2. Step 2: Convert to fraction form
    7,514/8,522 = 8,522/x
  3. Step 3: Cross multiply
    7,514x = 8,522 × 8,522
  4. Step 4: Simplify right side
    7,514x = 72,624,484
  5. Step 5: Solve for x
    x = 72,624,484/7,514
  6. Step 6: Final answer
    x = 9,665.22

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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.