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Finding the Third Proportional to 49,718.25 and 72,229.50

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Solution

The third proportional to 49,718.25 and 72,229.50 is: 104,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,718.25 : 72,229.50 = 72,229.50 : x
  2. Step 2: Convert to fraction form
    49,718.25/72,229.50 = 72,229.50/x
  3. Step 3: Cross multiply
    49,718.25x = 72,229.50 × 72,229.50
  4. Step 4: Simplify right side
    49,718.25x = 5,217,100,670.25
  5. Step 5: Solve for x
    x = 5,217,100,670.25/49,718.25
  6. Step 6: Final answer
    x = 104,933.31

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.