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Finding the Third Proportional to 1,527.19 and 2,560.78

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Solution

The third proportional to 1,527.19 and 2,560.78 is: 4,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.19 : 2,560.78 = 2,560.78 : x
  2. Step 2: Convert to fraction form
    1,527.19/2,560.78 = 2,560.78/x
  3. Step 3: Cross multiply
    1,527.19x = 2,560.78 × 2,560.78
  4. Step 4: Simplify right side
    1,527.19x = 6,557,600.61
  5. Step 5: Solve for x
    x = 6,557,600.61/1,527.19
  6. Step 6: Final answer
    x = 4,293.91

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.