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Finding the Third Proportional to 16,821 and 38,151

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Solution

The third proportional to 16,821 and 38,151 is: 86,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821 : 38,151 = 38,151 : x
  2. Step 2: Convert to fraction form
    16,821/38,151 = 38,151/x
  3. Step 3: Cross multiply
    16,821x = 38,151 × 38,151
  4. Step 4: Simplify right side
    16,821x = 1,455,498,801
  5. Step 5: Solve for x
    x = 1,455,498,801/16,821
  6. Step 6: Final answer
    x = 86,528.67

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.