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Finding the Third Proportional to 8,947.13 and 19,078.88

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Solution

The third proportional to 8,947.13 and 19,078.88 is: 40,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.13 : 19,078.88 = 19,078.88 : x
  2. Step 2: Convert to fraction form
    8,947.13/19,078.88 = 19,078.88/x
  3. Step 3: Cross multiply
    8,947.13x = 19,078.88 × 19,078.88
  4. Step 4: Simplify right side
    8,947.13x = 364,003,471.27
  5. Step 5: Solve for x
    x = 364,003,471.27/8,947.13
  6. Step 6: Final answer
    x = 40,683.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.