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Finding the Third Proportional to 8,331.19 and 9,141.19

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Solution

The third proportional to 8,331.19 and 9,141.19 is: 10,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.19 : 9,141.19 = 9,141.19 : x
  2. Step 2: Convert to fraction form
    8,331.19/9,141.19 = 9,141.19/x
  3. Step 3: Cross multiply
    8,331.19x = 9,141.19 × 9,141.19
  4. Step 4: Simplify right side
    8,331.19x = 83,561,308.91
  5. Step 5: Solve for x
    x = 83,561,308.91/8,331.19
  6. Step 6: Final answer
    x = 10,029.94

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.