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Finding the Third Proportional to 2,414.81 and 3,915.84

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Solution

The third proportional to 2,414.81 and 3,915.84 is: 6,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.81 : 3,915.84 = 3,915.84 : x
  2. Step 2: Convert to fraction form
    2,414.81/3,915.84 = 3,915.84/x
  3. Step 3: Cross multiply
    2,414.81x = 3,915.84 × 3,915.84
  4. Step 4: Simplify right side
    2,414.81x = 15,333,832.27
  5. Step 5: Solve for x
    x = 15,333,832.27/2,414.81
  6. Step 6: Final answer
    x = 6,349.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.