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Finding the Third Proportional to 32,279 and 70,948

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Solution

The third proportional to 32,279 and 70,948 is: 155,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279 : 70,948 = 70,948 : x
  2. Step 2: Convert to fraction form
    32,279/70,948 = 70,948/x
  3. Step 3: Cross multiply
    32,279x = 70,948 × 70,948
  4. Step 4: Simplify right side
    32,279x = 5,033,618,704
  5. Step 5: Solve for x
    x = 5,033,618,704/32,279
  6. Step 6: Final answer
    x = 155,940.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.