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Finding the Third Proportional to 8,949 and 13,149.53

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Solution

The third proportional to 8,949 and 13,149.53 is: 19,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949 : 13,149.53 = 13,149.53 : x
  2. Step 2: Convert to fraction form
    8,949/13,149.53 = 13,149.53/x
  3. Step 3: Cross multiply
    8,949x = 13,149.53 × 13,149.53
  4. Step 4: Simplify right side
    8,949x = 172,910,172.09
  5. Step 5: Solve for x
    x = 172,910,172.09/8,949
  6. Step 6: Final answer
    x = 19,321.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.