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Finding the Third Proportional to 22,694 and 34,072

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Solution

The third proportional to 22,694 and 34,072 is: 51,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694 : 34,072 = 34,072 : x
  2. Step 2: Convert to fraction form
    22,694/34,072 = 34,072/x
  3. Step 3: Cross multiply
    22,694x = 34,072 × 34,072
  4. Step 4: Simplify right side
    22,694x = 1,160,901,184
  5. Step 5: Solve for x
    x = 1,160,901,184/22,694
  6. Step 6: Final answer
    x = 51,154.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.