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Finding the Third Proportional to 15,914.25 and 24,379.88

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Solution

The third proportional to 15,914.25 and 24,379.88 is: 37,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.25 : 24,379.88 = 24,379.88 : x
  2. Step 2: Convert to fraction form
    15,914.25/24,379.88 = 24,379.88/x
  3. Step 3: Cross multiply
    15,914.25x = 24,379.88 × 24,379.88
  4. Step 4: Simplify right side
    15,914.25x = 594,378,305.02
  5. Step 5: Solve for x
    x = 594,378,305.02/15,914.25
  6. Step 6: Final answer
    x = 37,348.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.