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Finding the Third Proportional to 24,129 and 33,978.75

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Solution

The third proportional to 24,129 and 33,978.75 is: 47,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129 : 33,978.75 = 33,978.75 : x
  2. Step 2: Convert to fraction form
    24,129/33,978.75 = 33,978.75/x
  3. Step 3: Cross multiply
    24,129x = 33,978.75 × 33,978.75
  4. Step 4: Simplify right side
    24,129x = 1,154,555,451.56
  5. Step 5: Solve for x
    x = 1,154,555,451.56/24,129
  6. Step 6: Final answer
    x = 47,849.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.