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Finding the Third Proportional to 21,834.75 and 34,630.13

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Solution

The third proportional to 21,834.75 and 34,630.13 is: 54,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.75 : 34,630.13 = 34,630.13 : x
  2. Step 2: Convert to fraction form
    21,834.75/34,630.13 = 34,630.13/x
  3. Step 3: Cross multiply
    21,834.75x = 34,630.13 × 34,630.13
  4. Step 4: Simplify right side
    21,834.75x = 1,199,245,557.52
  5. Step 5: Solve for x
    x = 1,199,245,557.52/21,834.75
  6. Step 6: Final answer
    x = 54,923.71

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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.