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Finding the Third Proportional to 33,536.25 and 71,070

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Solution

The third proportional to 33,536.25 and 71,070 is: 150,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536.25 : 71,070 = 71,070 : x
  2. Step 2: Convert to fraction form
    33,536.25/71,070 = 71,070/x
  3. Step 3: Cross multiply
    33,536.25x = 71,070 × 71,070
  4. Step 4: Simplify right side
    33,536.25x = 5,050,944,900
  5. Step 5: Solve for x
    x = 5,050,944,900/33,536.25
  6. Step 6: Final answer
    x = 150,611.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.