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Finding the Third Proportional to 16,434 and 24,975

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Solution

The third proportional to 16,434 and 24,975 is: 37,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434 : 24,975 = 24,975 : x
  2. Step 2: Convert to fraction form
    16,434/24,975 = 24,975/x
  3. Step 3: Cross multiply
    16,434x = 24,975 × 24,975
  4. Step 4: Simplify right side
    16,434x = 623,750,625
  5. Step 5: Solve for x
    x = 623,750,625/16,434
  6. Step 6: Final answer
    x = 37,954.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.