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Finding the Third Proportional to 33,088 and 70,793

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Solution

The third proportional to 33,088 and 70,793 is: 151,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088 : 70,793 = 70,793 : x
  2. Step 2: Convert to fraction form
    33,088/70,793 = 70,793/x
  3. Step 3: Cross multiply
    33,088x = 70,793 × 70,793
  4. Step 4: Simplify right side
    33,088x = 5,011,648,849
  5. Step 5: Solve for x
    x = 5,011,648,849/33,088
  6. Step 6: Final answer
    x = 151,464.24

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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.