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Finding the Third Proportional to 1,708.59 and 3,724.73

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Solution

The third proportional to 1,708.59 and 3,724.73 is: 8,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.59 : 3,724.73 = 3,724.73 : x
  2. Step 2: Convert to fraction form
    1,708.59/3,724.73 = 3,724.73/x
  3. Step 3: Cross multiply
    1,708.59x = 3,724.73 × 3,724.73
  4. Step 4: Simplify right side
    1,708.59x = 13,873,646.16
  5. Step 5: Solve for x
    x = 13,873,646.16/1,708.59
  6. Step 6: Final answer
    x = 8,119.92

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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.