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Finding the Third Proportional to 1,082.11 and 2,370.20

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Solution

The third proportional to 1,082.11 and 2,370.20 is: 5,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.11 : 2,370.20 = 2,370.20 : x
  2. Step 2: Convert to fraction form
    1,082.11/2,370.20 = 2,370.20/x
  3. Step 3: Cross multiply
    1,082.11x = 2,370.20 × 2,370.20
  4. Step 4: Simplify right side
    1,082.11x = 5,617,844.34
  5. Step 5: Solve for x
    x = 5,617,844.34/1,082.11
  6. Step 6: Final answer
    x = 5,191.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.