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Finding the Third Proportional to 3,727.13 and 6,175.13

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Solution

The third proportional to 3,727.13 and 6,175.13 is: 10,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.13 : 6,175.13 = 6,175.13 : x
  2. Step 2: Convert to fraction form
    3,727.13/6,175.13 = 6,175.13/x
  3. Step 3: Cross multiply
    3,727.13x = 6,175.13 × 6,175.13
  4. Step 4: Simplify right side
    3,727.13x = 38,132,168.77
  5. Step 5: Solve for x
    x = 38,132,168.77/3,727.13
  6. Step 6: Final answer
    x = 10,230.99

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.