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Finding the Third Proportional to 3,414.38 and 4,876.31

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Solution

The third proportional to 3,414.38 and 4,876.31 is: 6,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.38 : 4,876.31 = 4,876.31 : x
  2. Step 2: Convert to fraction form
    3,414.38/4,876.31 = 4,876.31/x
  3. Step 3: Cross multiply
    3,414.38x = 4,876.31 × 4,876.31
  4. Step 4: Simplify right side
    3,414.38x = 23,778,423.60
  5. Step 5: Solve for x
    x = 23,778,423.60/3,414.38
  6. Step 6: Final answer
    x = 6,964.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.