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Finding the Third Proportional to 23,229 and 33,870

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Solution

The third proportional to 23,229 and 33,870 is: 49,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229 : 33,870 = 33,870 : x
  2. Step 2: Convert to fraction form
    23,229/33,870 = 33,870/x
  3. Step 3: Cross multiply
    23,229x = 33,870 × 33,870
  4. Step 4: Simplify right side
    23,229x = 1,147,176,900
  5. Step 5: Solve for x
    x = 1,147,176,900/23,229
  6. Step 6: Final answer
    x = 49,385.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.