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Finding the Third Proportional to 1,424.67 and 2,170.55

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Solution

The third proportional to 1,424.67 and 2,170.55 is: 3,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.67 : 2,170.55 = 2,170.55 : x
  2. Step 2: Convert to fraction form
    1,424.67/2,170.55 = 2,170.55/x
  3. Step 3: Cross multiply
    1,424.67x = 2,170.55 × 2,170.55
  4. Step 4: Simplify right side
    1,424.67x = 4,711,273.74
  5. Step 5: Solve for x
    x = 4,711,273.74/1,424.67
  6. Step 6: Final answer
    x = 3,306.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.