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Finding the Third Proportional to 16,851 and 27,720

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Solution

The third proportional to 16,851 and 27,720 is: 45,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 27,720 = 27,720 : x
  2. Step 2: Convert to fraction form
    16,851/27,720 = 27,720/x
  3. Step 3: Cross multiply
    16,851x = 27,720 × 27,720
  4. Step 4: Simplify right side
    16,851x = 768,398,400
  5. Step 5: Solve for x
    x = 768,398,400/16,851
  6. Step 6: Final answer
    x = 45,599.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.