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Finding the Third Proportional to 1,140.33 and 1,540.90

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Solution

The third proportional to 1,140.33 and 1,540.90 is: 2,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.33 : 1,540.90 = 1,540.90 : x
  2. Step 2: Convert to fraction form
    1,140.33/1,540.90 = 1,540.90/x
  3. Step 3: Cross multiply
    1,140.33x = 1,540.90 × 1,540.90
  4. Step 4: Simplify right side
    1,140.33x = 2,374,367.99
  5. Step 5: Solve for x
    x = 2,374,367.99/1,140.33
  6. Step 6: Final answer
    x = 2,082.18

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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.