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Finding the Third Proportional to 8,110.13 and 9,765.56

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Solution

The third proportional to 8,110.13 and 9,765.56 is: 11,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.13 : 9,765.56 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    8,110.13/9,765.56 = 9,765.56/x
  3. Step 3: Cross multiply
    8,110.13x = 9,765.56 × 9,765.56
  4. Step 4: Simplify right side
    8,110.13x = 95,366,210.94
  5. Step 5: Solve for x
    x = 95,366,210.94/8,110.13
  6. Step 6: Final answer
    x = 11,758.91

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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.