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Finding the Third Proportional to 3,862.69 and 9,271.97

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Solution

The third proportional to 3,862.69 and 9,271.97 is: 22,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 9,271.97 = 9,271.97 : x
  2. Step 2: Convert to fraction form
    3,862.69/9,271.97 = 9,271.97/x
  3. Step 3: Cross multiply
    3,862.69x = 9,271.97 × 9,271.97
  4. Step 4: Simplify right side
    3,862.69x = 85,969,404.50
  5. Step 5: Solve for x
    x = 85,969,404.50/3,862.69
  6. Step 6: Final answer
    x = 22,256.37

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.