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Finding the Third Proportional to 2,324.16 and 3,540.74

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Solution

The third proportional to 2,324.16 and 3,540.74 is: 5,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.16 : 3,540.74 = 3,540.74 : x
  2. Step 2: Convert to fraction form
    2,324.16/3,540.74 = 3,540.74/x
  3. Step 3: Cross multiply
    2,324.16x = 3,540.74 × 3,540.74
  4. Step 4: Simplify right side
    2,324.16x = 12,536,869.07
  5. Step 5: Solve for x
    x = 12,536,869.07/2,324.16
  6. Step 6: Final answer
    x = 5,394.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.