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Finding the Third Proportional to 33,294.38 and 70,826.06

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Solution

The third proportional to 33,294.38 and 70,826.06 is: 150,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,294.38 : 70,826.06 = 70,826.06 : x
  2. Step 2: Convert to fraction form
    33,294.38/70,826.06 = 70,826.06/x
  3. Step 3: Cross multiply
    33,294.38x = 70,826.06 × 70,826.06
  4. Step 4: Simplify right side
    33,294.38x = 5,016,331,129.25
  5. Step 5: Solve for x
    x = 5,016,331,129.25/33,294.38
  6. Step 6: Final answer
    x = 150,666.02

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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.