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Finding the Third Proportional to 866.64 and 1,527.29

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Solution

The third proportional to 866.64 and 1,527.29 is: 2,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.64 : 1,527.29 = 1,527.29 : x
  2. Step 2: Convert to fraction form
    866.64/1,527.29 = 1,527.29/x
  3. Step 3: Cross multiply
    866.64x = 1,527.29 × 1,527.29
  4. Step 4: Simplify right side
    866.64x = 2,332,623.81
  5. Step 5: Solve for x
    x = 2,332,623.81/866.64
  6. Step 6: Final answer
    x = 2,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.