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Finding the Third Proportional to 1,631.81 and 2,627.23

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Solution

The third proportional to 1,631.81 and 2,627.23 is: 4,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.81 : 2,627.23 = 2,627.23 : x
  2. Step 2: Convert to fraction form
    1,631.81/2,627.23 = 2,627.23/x
  3. Step 3: Cross multiply
    1,631.81x = 2,627.23 × 2,627.23
  4. Step 4: Simplify right side
    1,631.81x = 6,902,319.41
  5. Step 5: Solve for x
    x = 6,902,319.41/1,631.81
  6. Step 6: Final answer
    x = 4,229.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.