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Finding the Third Proportional to 33,524 and 70,935.50

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Solution

The third proportional to 33,524 and 70,935.50 is: 150,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524 : 70,935.50 = 70,935.50 : x
  2. Step 2: Convert to fraction form
    33,524/70,935.50 = 70,935.50/x
  3. Step 3: Cross multiply
    33,524x = 70,935.50 × 70,935.50
  4. Step 4: Simplify right side
    33,524x = 5,031,845,160.25
  5. Step 5: Solve for x
    x = 5,031,845,160.25/33,524
  6. Step 6: Final answer
    x = 150,096.80

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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.