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Finding the Third Proportional to 1,124.82 and 2,177.03

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Solution

The third proportional to 1,124.82 and 2,177.03 is: 4,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.82 : 2,177.03 = 2,177.03 : x
  2. Step 2: Convert to fraction form
    1,124.82/2,177.03 = 2,177.03/x
  3. Step 3: Cross multiply
    1,124.82x = 2,177.03 × 2,177.03
  4. Step 4: Simplify right side
    1,124.82x = 4,739,473.57
  5. Step 5: Solve for x
    x = 4,739,473.57/1,124.82
  6. Step 6: Final answer
    x = 4,213.52

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.