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Finding the Third Proportional to 33,298.50 and 71,335.50

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Solution

The third proportional to 33,298.50 and 71,335.50 is: 152,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.50 : 71,335.50 = 71,335.50 : x
  2. Step 2: Convert to fraction form
    33,298.50/71,335.50 = 71,335.50/x
  3. Step 3: Cross multiply
    33,298.50x = 71,335.50 × 71,335.50
  4. Step 4: Simplify right side
    33,298.50x = 5,088,753,560.25
  5. Step 5: Solve for x
    x = 5,088,753,560.25/33,298.50
  6. Step 6: Final answer
    x = 152,822.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.