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Finding the Third Proportional to 1,708.59 and 3,760.17

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Solution

The third proportional to 1,708.59 and 3,760.17 is: 8,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.59 : 3,760.17 = 3,760.17 : x
  2. Step 2: Convert to fraction form
    1,708.59/3,760.17 = 3,760.17/x
  3. Step 3: Cross multiply
    1,708.59x = 3,760.17 × 3,760.17
  4. Step 4: Simplify right side
    1,708.59x = 14,138,892.53
  5. Step 5: Solve for x
    x = 14,138,892.53/1,708.59
  6. Step 6: Final answer
    x = 8,275.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.