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Finding the Third Proportional to 2,665.13 and 4,344.75

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Solution

The third proportional to 2,665.13 and 4,344.75 is: 7,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.13 : 4,344.75 = 4,344.75 : x
  2. Step 2: Convert to fraction form
    2,665.13/4,344.75 = 4,344.75/x
  3. Step 3: Cross multiply
    2,665.13x = 4,344.75 × 4,344.75
  4. Step 4: Simplify right side
    2,665.13x = 18,876,852.56
  5. Step 5: Solve for x
    x = 18,876,852.56/2,665.13
  6. Step 6: Final answer
    x = 7,082.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.