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Finding the Third Proportional to 3,535.31 and 7,685.72

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Solution

The third proportional to 3,535.31 and 7,685.72 is: 16,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.31 : 7,685.72 = 7,685.72 : x
  2. Step 2: Convert to fraction form
    3,535.31/7,685.72 = 7,685.72/x
  3. Step 3: Cross multiply
    3,535.31x = 7,685.72 × 7,685.72
  4. Step 4: Simplify right side
    3,535.31x = 59,070,272.70
  5. Step 5: Solve for x
    x = 59,070,272.70/3,535.31
  6. Step 6: Final answer
    x = 16,708.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.