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Finding the Third Proportional to 27,694.13 and 60,400.69

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Solution

The third proportional to 27,694.13 and 60,400.69 is: 131,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694.13 : 60,400.69 = 60,400.69 : x
  2. Step 2: Convert to fraction form
    27,694.13/60,400.69 = 60,400.69/x
  3. Step 3: Cross multiply
    27,694.13x = 60,400.69 × 60,400.69
  4. Step 4: Simplify right side
    27,694.13x = 3,648,243,050.47
  5. Step 5: Solve for x
    x = 3,648,243,050.47/27,694.13
  6. Step 6: Final answer
    x = 131,733.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.