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Finding the Third Proportional to 725.62 and 1,566.57

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Solution

The third proportional to 725.62 and 1,566.57 is: 3,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.62 : 1,566.57 = 1,566.57 : x
  2. Step 2: Convert to fraction form
    725.62/1,566.57 = 1,566.57/x
  3. Step 3: Cross multiply
    725.62x = 1,566.57 × 1,566.57
  4. Step 4: Simplify right side
    725.62x = 2,454,131.84
  5. Step 5: Solve for x
    x = 2,454,131.84/725.62
  6. Step 6: Final answer
    x = 3,382.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.