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Finding the Third Proportional to 3,391.31 and 5,083.45

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Solution

The third proportional to 3,391.31 and 5,083.45 is: 7,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.31 : 5,083.45 = 5,083.45 : x
  2. Step 2: Convert to fraction form
    3,391.31/5,083.45 = 5,083.45/x
  3. Step 3: Cross multiply
    3,391.31x = 5,083.45 × 5,083.45
  4. Step 4: Simplify right side
    3,391.31x = 25,841,495.67
  5. Step 5: Solve for x
    x = 25,841,495.67/3,391.31
  6. Step 6: Final answer
    x = 7,619.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.