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Finding the Third Proportional to 2,394.90 and 3,297.72

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Solution

The third proportional to 2,394.90 and 3,297.72 is: 4,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.90 : 3,297.72 = 3,297.72 : x
  2. Step 2: Convert to fraction form
    2,394.90/3,297.72 = 3,297.72/x
  3. Step 3: Cross multiply
    2,394.90x = 3,297.72 × 3,297.72
  4. Step 4: Simplify right side
    2,394.90x = 10,874,953.38
  5. Step 5: Solve for x
    x = 10,874,953.38/2,394.90
  6. Step 6: Final answer
    x = 4,540.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.