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Finding the Third Proportional to 32,194.88 and 49,248.75

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Solution

The third proportional to 32,194.88 and 49,248.75 is: 75,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.88 : 49,248.75 = 49,248.75 : x
  2. Step 2: Convert to fraction form
    32,194.88/49,248.75 = 49,248.75/x
  3. Step 3: Cross multiply
    32,194.88x = 49,248.75 × 49,248.75
  4. Step 4: Simplify right side
    32,194.88x = 2,425,439,376.56
  5. Step 5: Solve for x
    x = 2,425,439,376.56/32,194.88
  6. Step 6: Final answer
    x = 75,336.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.