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Finding the Third Proportional to 33,234.75 and 72,301.50

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Solution

The third proportional to 33,234.75 and 72,301.50 is: 157,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.75 : 72,301.50 = 72,301.50 : x
  2. Step 2: Convert to fraction form
    33,234.75/72,301.50 = 72,301.50/x
  3. Step 3: Cross multiply
    33,234.75x = 72,301.50 × 72,301.50
  4. Step 4: Simplify right side
    33,234.75x = 5,227,506,902.25
  5. Step 5: Solve for x
    x = 5,227,506,902.25/33,234.75
  6. Step 6: Final answer
    x = 157,290.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.