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Finding the Third Proportional to 16,762 and 33,101

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Solution

The third proportional to 16,762 and 33,101 is: 65,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762 : 33,101 = 33,101 : x
  2. Step 2: Convert to fraction form
    16,762/33,101 = 33,101/x
  3. Step 3: Cross multiply
    16,762x = 33,101 × 33,101
  4. Step 4: Simplify right side
    16,762x = 1,095,676,201
  5. Step 5: Solve for x
    x = 1,095,676,201/16,762
  6. Step 6: Final answer
    x = 65,366.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.