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Finding the Third Proportional to 8,169.21 and 8,476.76

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Solution

The third proportional to 8,169.21 and 8,476.76 is: 8,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.21 : 8,476.76 = 8,476.76 : x
  2. Step 2: Convert to fraction form
    8,169.21/8,476.76 = 8,476.76/x
  3. Step 3: Cross multiply
    8,169.21x = 8,476.76 × 8,476.76
  4. Step 4: Simplify right side
    8,169.21x = 71,855,472.68
  5. Step 5: Solve for x
    x = 71,855,472.68/8,169.21
  6. Step 6: Final answer
    x = 8,795.89

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.