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Finding the Third Proportional to 13,834.13 and 20,764.13

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Solution

The third proportional to 13,834.13 and 20,764.13 is: 31,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.13 : 20,764.13 = 20,764.13 : x
  2. Step 2: Convert to fraction form
    13,834.13/20,764.13 = 20,764.13/x
  3. Step 3: Cross multiply
    13,834.13x = 20,764.13 × 20,764.13
  4. Step 4: Simplify right side
    13,834.13x = 431,148,887.02
  5. Step 5: Solve for x
    x = 431,148,887.02/13,834.13
  6. Step 6: Final answer
    x = 31,165.61

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Why These Related Problems?

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