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Finding the Third Proportional to 1,123.03 and 1,513.69

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Solution

The third proportional to 1,123.03 and 1,513.69 is: 2,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.03 : 1,513.69 = 1,513.69 : x
  2. Step 2: Convert to fraction form
    1,123.03/1,513.69 = 1,513.69/x
  3. Step 3: Cross multiply
    1,123.03x = 1,513.69 × 1,513.69
  4. Step 4: Simplify right side
    1,123.03x = 2,291,249.85
  5. Step 5: Solve for x
    x = 2,291,249.85/1,123.03
  6. Step 6: Final answer
    x = 2,040.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.