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Finding the Third Proportional to 20,106 and 33,527

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Solution

The third proportional to 20,106 and 33,527 is: 55,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 33,527 = 33,527 : x
  2. Step 2: Convert to fraction form
    20,106/33,527 = 33,527/x
  3. Step 3: Cross multiply
    20,106x = 33,527 × 33,527
  4. Step 4: Simplify right side
    20,106x = 1,124,059,729
  5. Step 5: Solve for x
    x = 1,124,059,729/20,106
  6. Step 6: Final answer
    x = 55,906.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.