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Finding the Third Proportional to 21,898 and 33,976

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Solution

The third proportional to 21,898 and 33,976 is: 52,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898 : 33,976 = 33,976 : x
  2. Step 2: Convert to fraction form
    21,898/33,976 = 33,976/x
  3. Step 3: Cross multiply
    21,898x = 33,976 × 33,976
  4. Step 4: Simplify right side
    21,898x = 1,154,368,576
  5. Step 5: Solve for x
    x = 1,154,368,576/21,898
  6. Step 6: Final answer
    x = 52,715.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.