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Finding the Third Proportional to 2,290.13 and 3,499.31

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Solution

The third proportional to 2,290.13 and 3,499.31 is: 5,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.13 : 3,499.31 = 3,499.31 : x
  2. Step 2: Convert to fraction form
    2,290.13/3,499.31 = 3,499.31/x
  3. Step 3: Cross multiply
    2,290.13x = 3,499.31 × 3,499.31
  4. Step 4: Simplify right side
    2,290.13x = 12,245,187.97
  5. Step 5: Solve for x
    x = 12,245,187.97/2,290.13
  6. Step 6: Final answer
    x = 5,346.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.