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Finding the Third Proportional to 2,354.25 and 3,612.38

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Solution

The third proportional to 2,354.25 and 3,612.38 is: 5,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.25 : 3,612.38 = 3,612.38 : x
  2. Step 2: Convert to fraction form
    2,354.25/3,612.38 = 3,612.38/x
  3. Step 3: Cross multiply
    2,354.25x = 3,612.38 × 3,612.38
  4. Step 4: Simplify right side
    2,354.25x = 13,049,253.14
  5. Step 5: Solve for x
    x = 13,049,253.14/2,354.25
  6. Step 6: Final answer
    x = 5,542.85

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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.