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Finding the Third Proportional to 38,226.38 and 89,947.13

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Solution

The third proportional to 38,226.38 and 89,947.13 is: 211,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226.38 : 89,947.13 = 89,947.13 : x
  2. Step 2: Convert to fraction form
    38,226.38/89,947.13 = 89,947.13/x
  3. Step 3: Cross multiply
    38,226.38x = 89,947.13 × 89,947.13
  4. Step 4: Simplify right side
    38,226.38x = 8,090,485,295.77
  5. Step 5: Solve for x
    x = 8,090,485,295.77/38,226.38
  6. Step 6: Final answer
    x = 211,646.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.