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Finding the Third Proportional to 1,072.62 and 1,560.04

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Solution

The third proportional to 1,072.62 and 1,560.04 is: 2,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.62 : 1,560.04 = 1,560.04 : x
  2. Step 2: Convert to fraction form
    1,072.62/1,560.04 = 1,560.04/x
  3. Step 3: Cross multiply
    1,072.62x = 1,560.04 × 1,560.04
  4. Step 4: Simplify right side
    1,072.62x = 2,433,727.97
  5. Step 5: Solve for x
    x = 2,433,727.97/1,072.62
  6. Step 6: Final answer
    x = 2,268.96

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.