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Finding the Third Proportional to 1,656.56 and 3,639.66

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Solution

The third proportional to 1,656.56 and 3,639.66 is: 7,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.56 : 3,639.66 = 3,639.66 : x
  2. Step 2: Convert to fraction form
    1,656.56/3,639.66 = 3,639.66/x
  3. Step 3: Cross multiply
    1,656.56x = 3,639.66 × 3,639.66
  4. Step 4: Simplify right side
    1,656.56x = 13,247,097.62
  5. Step 5: Solve for x
    x = 13,247,097.62/1,656.56
  6. Step 6: Final answer
    x = 7,996.74

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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.