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Finding the Third Proportional to 1,527.29 and 2,548.18

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Solution

The third proportional to 1,527.29 and 2,548.18 is: 4,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.29 : 2,548.18 = 2,548.18 : x
  2. Step 2: Convert to fraction form
    1,527.29/2,548.18 = 2,548.18/x
  3. Step 3: Cross multiply
    1,527.29x = 2,548.18 × 2,548.18
  4. Step 4: Simplify right side
    1,527.29x = 6,493,209.77
  5. Step 5: Solve for x
    x = 6,493,209.77/1,527.29
  6. Step 6: Final answer
    x = 4,251.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.