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Finding the Third Proportional to 8,053.88 and 9,649.13

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Solution

The third proportional to 8,053.88 and 9,649.13 is: 11,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.88 : 9,649.13 = 9,649.13 : x
  2. Step 2: Convert to fraction form
    8,053.88/9,649.13 = 9,649.13/x
  3. Step 3: Cross multiply
    8,053.88x = 9,649.13 × 9,649.13
  4. Step 4: Simplify right side
    8,053.88x = 93,105,613.27
  5. Step 5: Solve for x
    x = 93,105,613.27/8,053.88
  6. Step 6: Final answer
    x = 11,560.35

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.