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Finding the Third Proportional to 14,949 and 22,134.38

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Solution

The third proportional to 14,949 and 22,134.38 is: 32,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949 : 22,134.38 = 22,134.38 : x
  2. Step 2: Convert to fraction form
    14,949/22,134.38 = 22,134.38/x
  3. Step 3: Cross multiply
    14,949x = 22,134.38 × 22,134.38
  4. Step 4: Simplify right side
    14,949x = 489,930,556.64
  5. Step 5: Solve for x
    x = 489,930,556.64/14,949
  6. Step 6: Final answer
    x = 32,773.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.