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Finding the Third Proportional to 21,414.50 and 34,101.75

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Solution

The third proportional to 21,414.50 and 34,101.75 is: 54,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.50 : 34,101.75 = 34,101.75 : x
  2. Step 2: Convert to fraction form
    21,414.50/34,101.75 = 34,101.75/x
  3. Step 3: Cross multiply
    21,414.50x = 34,101.75 × 34,101.75
  4. Step 4: Simplify right side
    21,414.50x = 1,162,929,353.06
  5. Step 5: Solve for x
    x = 1,162,929,353.06/21,414.50
  6. Step 6: Final answer
    x = 54,305.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.