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Finding the Third Proportional to 16,500 and 20,910

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Solution

The third proportional to 16,500 and 20,910 is: 26,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    16,500/20,910 = 20,910/x
  3. Step 3: Cross multiply
    16,500x = 20,910 × 20,910
  4. Step 4: Simplify right side
    16,500x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/16,500
  6. Step 6: Final answer
    x = 26,498.67

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.