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Finding the Third Proportional to 1,031.55 and 2,227.54

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Solution

The third proportional to 1,031.55 and 2,227.54 is: 4,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.55 : 2,227.54 = 2,227.54 : x
  2. Step 2: Convert to fraction form
    1,031.55/2,227.54 = 2,227.54/x
  3. Step 3: Cross multiply
    1,031.55x = 2,227.54 × 2,227.54
  4. Step 4: Simplify right side
    1,031.55x = 4,961,912.87
  5. Step 5: Solve for x
    x = 4,961,912.87/1,031.55
  6. Step 6: Final answer
    x = 4,810.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.