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Finding the Third Proportional to 2,590.31 and 6,139.97

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Solution

The third proportional to 2,590.31 and 6,139.97 is: 14,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.31 : 6,139.97 = 6,139.97 : x
  2. Step 2: Convert to fraction form
    2,590.31/6,139.97 = 6,139.97/x
  3. Step 3: Cross multiply
    2,590.31x = 6,139.97 × 6,139.97
  4. Step 4: Simplify right side
    2,590.31x = 37,699,216.25
  5. Step 5: Solve for x
    x = 37,699,216.25/2,590.31
  6. Step 6: Final answer
    x = 14,553.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.