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Finding the Third Proportional to 8,033 and 8,771

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Solution

The third proportional to 8,033 and 8,771 is: 9,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033 : 8,771 = 8,771 : x
  2. Step 2: Convert to fraction form
    8,033/8,771 = 8,771/x
  3. Step 3: Cross multiply
    8,033x = 8,771 × 8,771
  4. Step 4: Simplify right side
    8,033x = 76,930,441
  5. Step 5: Solve for x
    x = 76,930,441/8,033
  6. Step 6: Final answer
    x = 9,576.80

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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.