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Finding the Third Proportional to 2,718.56 and 4,076.58

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Solution

The third proportional to 2,718.56 and 4,076.58 is: 6,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.56 : 4,076.58 = 4,076.58 : x
  2. Step 2: Convert to fraction form
    2,718.56/4,076.58 = 4,076.58/x
  3. Step 3: Cross multiply
    2,718.56x = 4,076.58 × 4,076.58
  4. Step 4: Simplify right side
    2,718.56x = 16,618,489.21
  5. Step 5: Solve for x
    x = 16,618,489.21/2,718.56
  6. Step 6: Final answer
    x = 6,112.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.