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Finding the Third Proportional to 2,544.12 and 4,047.05

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Solution

The third proportional to 2,544.12 and 4,047.05 is: 6,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.12 : 4,047.05 = 4,047.05 : x
  2. Step 2: Convert to fraction form
    2,544.12/4,047.05 = 4,047.05/x
  3. Step 3: Cross multiply
    2,544.12x = 4,047.05 × 4,047.05
  4. Step 4: Simplify right side
    2,544.12x = 16,378,588.41
  5. Step 5: Solve for x
    x = 16,378,588.41/2,544.12
  6. Step 6: Final answer
    x = 6,437.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.