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Finding the Third Proportional to 1,038.29 and 2,251.71

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Solution

The third proportional to 1,038.29 and 2,251.71 is: 4,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.29 : 2,251.71 = 2,251.71 : x
  2. Step 2: Convert to fraction form
    1,038.29/2,251.71 = 2,251.71/x
  3. Step 3: Cross multiply
    1,038.29x = 2,251.71 × 2,251.71
  4. Step 4: Simplify right side
    1,038.29x = 5,070,175.76
  5. Step 5: Solve for x
    x = 5,070,175.76/1,038.29
  6. Step 6: Final answer
    x = 4,883.21

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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.