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Finding the Third Proportional to 8,031 and 8,769

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Solution

The third proportional to 8,031 and 8,769 is: 9,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031 : 8,769 = 8,769 : x
  2. Step 2: Convert to fraction form
    8,031/8,769 = 8,769/x
  3. Step 3: Cross multiply
    8,031x = 8,769 × 8,769
  4. Step 4: Simplify right side
    8,031x = 76,895,361
  5. Step 5: Solve for x
    x = 76,895,361/8,031
  6. Step 6: Final answer
    x = 9,574.82

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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.