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Finding the Third Proportional to 49,884.75 and 72,882

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Solution

The third proportional to 49,884.75 and 72,882 is: 106,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,884.75 : 72,882 = 72,882 : x
  2. Step 2: Convert to fraction form
    49,884.75/72,882 = 72,882/x
  3. Step 3: Cross multiply
    49,884.75x = 72,882 × 72,882
  4. Step 4: Simplify right side
    49,884.75x = 5,311,785,924
  5. Step 5: Solve for x
    x = 5,311,785,924/49,884.75
  6. Step 6: Final answer
    x = 106,481.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.