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Finding the Third Proportional to 34,231.50 and 73,522

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Solution

The third proportional to 34,231.50 and 73,522 is: 157,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.50 : 73,522 = 73,522 : x
  2. Step 2: Convert to fraction form
    34,231.50/73,522 = 73,522/x
  3. Step 3: Cross multiply
    34,231.50x = 73,522 × 73,522
  4. Step 4: Simplify right side
    34,231.50x = 5,405,484,484
  5. Step 5: Solve for x
    x = 5,405,484,484/34,231.50
  6. Step 6: Final answer
    x = 157,909.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.