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Finding the Third Proportional to 1,123.31 and 1,616.91

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Solution

The third proportional to 1,123.31 and 1,616.91 is: 2,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.31 : 1,616.91 = 1,616.91 : x
  2. Step 2: Convert to fraction form
    1,123.31/1,616.91 = 1,616.91/x
  3. Step 3: Cross multiply
    1,123.31x = 1,616.91 × 1,616.91
  4. Step 4: Simplify right side
    1,123.31x = 2,614,385.82
  5. Step 5: Solve for x
    x = 2,614,385.82/1,123.31
  6. Step 6: Final answer
    x = 2,327.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.