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Finding the Third Proportional to 16,723.13 and 22,305.56

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Solution

The third proportional to 16,723.13 and 22,305.56 is: 29,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,723.13 : 22,305.56 = 22,305.56 : x
  2. Step 2: Convert to fraction form
    16,723.13/22,305.56 = 22,305.56/x
  3. Step 3: Cross multiply
    16,723.13x = 22,305.56 × 22,305.56
  4. Step 4: Simplify right side
    16,723.13x = 497,538,118.44
  5. Step 5: Solve for x
    x = 497,538,118.44/16,723.13
  6. Step 6: Final answer
    x = 29,751.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.