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Finding the Third Proportional to 16,851 and 24,274.25

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Solution

The third proportional to 16,851 and 24,274.25 is: 34,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 24,274.25 = 24,274.25 : x
  2. Step 2: Convert to fraction form
    16,851/24,274.25 = 24,274.25/x
  3. Step 3: Cross multiply
    16,851x = 24,274.25 × 24,274.25
  4. Step 4: Simplify right side
    16,851x = 589,239,213.06
  5. Step 5: Solve for x
    x = 589,239,213.06/16,851
  6. Step 6: Final answer
    x = 34,967.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.