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Finding the Third Proportional to 32,877 and 71,904.75

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Solution

The third proportional to 32,877 and 71,904.75 is: 157,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877 : 71,904.75 = 71,904.75 : x
  2. Step 2: Convert to fraction form
    32,877/71,904.75 = 71,904.75/x
  3. Step 3: Cross multiply
    32,877x = 71,904.75 × 71,904.75
  4. Step 4: Simplify right side
    32,877x = 5,170,293,072.56
  5. Step 5: Solve for x
    x = 5,170,293,072.56/32,877
  6. Step 6: Final answer
    x = 157,261.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.