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Finding the Third Proportional to 16,234.25 and 20,744.25

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Solution

The third proportional to 16,234.25 and 20,744.25 is: 26,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.25 : 20,744.25 = 20,744.25 : x
  2. Step 2: Convert to fraction form
    16,234.25/20,744.25 = 20,744.25/x
  3. Step 3: Cross multiply
    16,234.25x = 20,744.25 × 20,744.25
  4. Step 4: Simplify right side
    16,234.25x = 430,323,908.06
  5. Step 5: Solve for x
    x = 430,323,908.06/16,234.25
  6. Step 6: Final answer
    x = 26,507.16

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.