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Finding the Third Proportional to 32,067.88 and 74,233.50

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Solution

The third proportional to 32,067.88 and 74,233.50 is: 171,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.88 : 74,233.50 = 74,233.50 : x
  2. Step 2: Convert to fraction form
    32,067.88/74,233.50 = 74,233.50/x
  3. Step 3: Cross multiply
    32,067.88x = 74,233.50 × 74,233.50
  4. Step 4: Simplify right side
    32,067.88x = 5,510,612,522.25
  5. Step 5: Solve for x
    x = 5,510,612,522.25/32,067.88
  6. Step 6: Final answer
    x = 171,842.15

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.