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Finding the Third Proportional to 3,754.69 and 5,908.78

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Solution

The third proportional to 3,754.69 and 5,908.78 is: 9,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.69 : 5,908.78 = 5,908.78 : x
  2. Step 2: Convert to fraction form
    3,754.69/5,908.78 = 5,908.78/x
  3. Step 3: Cross multiply
    3,754.69x = 5,908.78 × 5,908.78
  4. Step 4: Simplify right side
    3,754.69x = 34,913,695.86
  5. Step 5: Solve for x
    x = 34,913,695.86/3,754.69
  6. Step 6: Final answer
    x = 9,298.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.