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Finding the Third Proportional to 16,253.75 and 24,314.75

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Solution

The third proportional to 16,253.75 and 24,314.75 is: 36,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.75 : 24,314.75 = 24,314.75 : x
  2. Step 2: Convert to fraction form
    16,253.75/24,314.75 = 24,314.75/x
  3. Step 3: Cross multiply
    16,253.75x = 24,314.75 × 24,314.75
  4. Step 4: Simplify right side
    16,253.75x = 591,207,067.56
  5. Step 5: Solve for x
    x = 591,207,067.56/16,253.75
  6. Step 6: Final answer
    x = 36,373.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.