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Finding the Third Proportional to 49,867.25 and 72,872.13

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Solution

The third proportional to 49,867.25 and 72,872.13 is: 106,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,867.25 : 72,872.13 = 72,872.13 : x
  2. Step 2: Convert to fraction form
    49,867.25/72,872.13 = 72,872.13/x
  3. Step 3: Cross multiply
    49,867.25x = 72,872.13 × 72,872.13
  4. Step 4: Simplify right side
    49,867.25x = 5,310,346,602.02
  5. Step 5: Solve for x
    x = 5,310,346,602.02/49,867.25
  6. Step 6: Final answer
    x = 106,489.66

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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.