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Finding the Third Proportional to 16,274 and 24,723

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Solution

The third proportional to 16,274 and 24,723 is: 37,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274 : 24,723 = 24,723 : x
  2. Step 2: Convert to fraction form
    16,274/24,723 = 24,723/x
  3. Step 3: Cross multiply
    16,274x = 24,723 × 24,723
  4. Step 4: Simplify right side
    16,274x = 611,226,729
  5. Step 5: Solve for x
    x = 611,226,729/16,274
  6. Step 6: Final answer
    x = 37,558.48

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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.