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Finding the Third Proportional to 33,421.50 and 71,212.50

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Solution

The third proportional to 33,421.50 and 71,212.50 is: 151,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421.50 : 71,212.50 = 71,212.50 : x
  2. Step 2: Convert to fraction form
    33,421.50/71,212.50 = 71,212.50/x
  3. Step 3: Cross multiply
    33,421.50x = 71,212.50 × 71,212.50
  4. Step 4: Simplify right side
    33,421.50x = 5,071,220,156.25
  5. Step 5: Solve for x
    x = 5,071,220,156.25/33,421.50
  6. Step 6: Final answer
    x = 151,735.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.