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Finding the Third Proportional to 19,981.13 and 29,834.44

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Solution

The third proportional to 19,981.13 and 29,834.44 is: 44,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.13 : 29,834.44 = 29,834.44 : x
  2. Step 2: Convert to fraction form
    19,981.13/29,834.44 = 29,834.44/x
  3. Step 3: Cross multiply
    19,981.13x = 29,834.44 × 29,834.44
  4. Step 4: Simplify right side
    19,981.13x = 890,093,660.94
  5. Step 5: Solve for x
    x = 890,093,660.94/19,981.13
  6. Step 6: Final answer
    x = 44,546.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.