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Finding the Third Proportional to 2,617.41 and 4,047.61

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Solution

The third proportional to 2,617.41 and 4,047.61 is: 6,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.41 : 4,047.61 = 4,047.61 : x
  2. Step 2: Convert to fraction form
    2,617.41/4,047.61 = 4,047.61/x
  3. Step 3: Cross multiply
    2,617.41x = 4,047.61 × 4,047.61
  4. Step 4: Simplify right side
    2,617.41x = 16,383,141.65
  5. Step 5: Solve for x
    x = 16,383,141.65/2,617.41
  6. Step 6: Final answer
    x = 6,259.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.