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Finding the Third Proportional to 16,818 and 22,851

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Solution

The third proportional to 16,818 and 22,851 is: 31,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818 : 22,851 = 22,851 : x
  2. Step 2: Convert to fraction form
    16,818/22,851 = 22,851/x
  3. Step 3: Cross multiply
    16,818x = 22,851 × 22,851
  4. Step 4: Simplify right side
    16,818x = 522,168,201
  5. Step 5: Solve for x
    x = 522,168,201/16,818
  6. Step 6: Final answer
    x = 31,048.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.