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Finding the Third Proportional to 1,127.25 and 2,427.89

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Solution

The third proportional to 1,127.25 and 2,427.89 is: 5,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.25 : 2,427.89 = 2,427.89 : x
  2. Step 2: Convert to fraction form
    1,127.25/2,427.89 = 2,427.89/x
  3. Step 3: Cross multiply
    1,127.25x = 2,427.89 × 2,427.89
  4. Step 4: Simplify right side
    1,127.25x = 5,894,652.89
  5. Step 5: Solve for x
    x = 5,894,652.89/1,127.25
  6. Step 6: Final answer
    x = 5,229.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.