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Finding the Third Proportional to 16,206 and 24,738

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Solution

The third proportional to 16,206 and 24,738 is: 37,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 24,738 = 24,738 : x
  2. Step 2: Convert to fraction form
    16,206/24,738 = 24,738/x
  3. Step 3: Cross multiply
    16,206x = 24,738 × 24,738
  4. Step 4: Simplify right side
    16,206x = 611,968,644
  5. Step 5: Solve for x
    x = 611,968,644/16,206
  6. Step 6: Final answer
    x = 37,761.86

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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.