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Finding the Third Proportional to 2,317.31 and 3,079.13

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Solution

The third proportional to 2,317.31 and 3,079.13 is: 4,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.31 : 3,079.13 = 3,079.13 : x
  2. Step 2: Convert to fraction form
    2,317.31/3,079.13 = 3,079.13/x
  3. Step 3: Cross multiply
    2,317.31x = 3,079.13 × 3,079.13
  4. Step 4: Simplify right side
    2,317.31x = 9,481,010.77
  5. Step 5: Solve for x
    x = 9,481,010.77/2,317.31
  6. Step 6: Final answer
    x = 4,091.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.