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Finding the Third Proportional to 2,050.31 and 2,499.19

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Solution

The third proportional to 2,050.31 and 2,499.19 is: 3,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 2,499.19 = 2,499.19 : x
  2. Step 2: Convert to fraction form
    2,050.31/2,499.19 = 2,499.19/x
  3. Step 3: Cross multiply
    2,050.31x = 2,499.19 × 2,499.19
  4. Step 4: Simplify right side
    2,050.31x = 6,245,938.16
  5. Step 5: Solve for x
    x = 6,245,938.16/2,050.31
  6. Step 6: Final answer
    x = 3,046.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.