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Finding the Third Proportional to 2,469.38 and 3,948.19

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Solution

The third proportional to 2,469.38 and 3,948.19 is: 6,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.38 : 3,948.19 = 3,948.19 : x
  2. Step 2: Convert to fraction form
    2,469.38/3,948.19 = 3,948.19/x
  3. Step 3: Cross multiply
    2,469.38x = 3,948.19 × 3,948.19
  4. Step 4: Simplify right side
    2,469.38x = 15,588,184.54
  5. Step 5: Solve for x
    x = 15,588,184.54/2,469.38
  6. Step 6: Final answer
    x = 6,312.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.