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Finding the Third Proportional to 16,492 and 24,738

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Solution

The third proportional to 16,492 and 24,738 is: 37,107

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492 : 24,738 = 24,738 : x
  2. Step 2: Convert to fraction form
    16,492/24,738 = 24,738/x
  3. Step 3: Cross multiply
    16,492x = 24,738 × 24,738
  4. Step 4: Simplify right side
    16,492x = 611,968,644
  5. Step 5: Solve for x
    x = 611,968,644/16,492
  6. Step 6: Final answer
    x = 37,107

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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.