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Finding the Third Proportional to 2,298.38 and 3,446.91

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Solution

The third proportional to 2,298.38 and 3,446.91 is: 5,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.38 : 3,446.91 = 3,446.91 : x
  2. Step 2: Convert to fraction form
    2,298.38/3,446.91 = 3,446.91/x
  3. Step 3: Cross multiply
    2,298.38x = 3,446.91 × 3,446.91
  4. Step 4: Simplify right side
    2,298.38x = 11,881,162.70
  5. Step 5: Solve for x
    x = 11,881,162.70/2,298.38
  6. Step 6: Final answer
    x = 5,169.38

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