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Finding the Third Proportional to 1,384.38 and 3,002.27

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Solution

The third proportional to 1,384.38 and 3,002.27 is: 6,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.38 : 3,002.27 = 3,002.27 : x
  2. Step 2: Convert to fraction form
    1,384.38/3,002.27 = 3,002.27/x
  3. Step 3: Cross multiply
    1,384.38x = 3,002.27 × 3,002.27
  4. Step 4: Simplify right side
    1,384.38x = 9,013,645.79
  5. Step 5: Solve for x
    x = 9,013,645.79/1,384.38
  6. Step 6: Final answer
    x = 6,510.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.