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Finding the Third Proportional to 2,293.03 and 3,397.78

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Solution

The third proportional to 2,293.03 and 3,397.78 is: 5,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.03 : 3,397.78 = 3,397.78 : x
  2. Step 2: Convert to fraction form
    2,293.03/3,397.78 = 3,397.78/x
  3. Step 3: Cross multiply
    2,293.03x = 3,397.78 × 3,397.78
  4. Step 4: Simplify right side
    2,293.03x = 11,544,917.42
  5. Step 5: Solve for x
    x = 11,544,917.42/2,293.03
  6. Step 6: Final answer
    x = 5,034.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.