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Finding the Third Proportional to 1,565.91 and 2,297.60

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Solution

The third proportional to 1,565.91 and 2,297.60 is: 3,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.91 : 2,297.60 = 2,297.60 : x
  2. Step 2: Convert to fraction form
    1,565.91/2,297.60 = 2,297.60/x
  3. Step 3: Cross multiply
    1,565.91x = 2,297.60 × 2,297.60
  4. Step 4: Simplify right side
    1,565.91x = 5,278,972.94
  5. Step 5: Solve for x
    x = 5,278,972.94/1,565.91
  6. Step 6: Final answer
    x = 3,371.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.