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Finding the Third Proportional to 7,229.25 and 16,733.25

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Solution

The third proportional to 7,229.25 and 16,733.25 is: 38,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.25 : 16,733.25 = 16,733.25 : x
  2. Step 2: Convert to fraction form
    7,229.25/16,733.25 = 16,733.25/x
  3. Step 3: Cross multiply
    7,229.25x = 16,733.25 × 16,733.25
  4. Step 4: Simplify right side
    7,229.25x = 280,001,655.56
  5. Step 5: Solve for x
    x = 280,001,655.56/7,229.25
  6. Step 6: Final answer
    x = 38,731.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.