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Finding the Third Proportional to 565.13 and 1,251.19

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Solution

The third proportional to 565.13 and 1,251.19 is: 2,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 1,251.19 = 1,251.19 : x
  2. Step 2: Convert to fraction form
    565.13/1,251.19 = 1,251.19/x
  3. Step 3: Cross multiply
    565.13x = 1,251.19 × 1,251.19
  4. Step 4: Simplify right side
    565.13x = 1,565,470.16
  5. Step 5: Solve for x
    x = 1,565,470.16/565.13
  6. Step 6: Final answer
    x = 2,770.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.