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Finding the Third Proportional to 10,065.75 and 27,169.13

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Solution

The third proportional to 10,065.75 and 27,169.13 is: 73,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.75 : 27,169.13 = 27,169.13 : x
  2. Step 2: Convert to fraction form
    10,065.75/27,169.13 = 27,169.13/x
  3. Step 3: Cross multiply
    10,065.75x = 27,169.13 × 27,169.13
  4. Step 4: Simplify right side
    10,065.75x = 738,161,353.27
  5. Step 5: Solve for x
    x = 738,161,353.27/10,065.75
  6. Step 6: Final answer
    x = 73,333.96

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.