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Finding the Third Proportional to 1,082.34 and 2,337.66

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Solution

The third proportional to 1,082.34 and 2,337.66 is: 5,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 2,337.66 = 2,337.66 : x
  2. Step 2: Convert to fraction form
    1,082.34/2,337.66 = 2,337.66/x
  3. Step 3: Cross multiply
    1,082.34x = 2,337.66 × 2,337.66
  4. Step 4: Simplify right side
    1,082.34x = 5,464,636.74
  5. Step 5: Solve for x
    x = 5,464,636.74/1,082.34
  6. Step 6: Final answer
    x = 5,048.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.