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Finding the Third Proportional to 20,179 and 32,101

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Solution

The third proportional to 20,179 and 32,101 is: 51,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 32,101 = 32,101 : x
  2. Step 2: Convert to fraction form
    20,179/32,101 = 32,101/x
  3. Step 3: Cross multiply
    20,179x = 32,101 × 32,101
  4. Step 4: Simplify right side
    20,179x = 1,030,474,201
  5. Step 5: Solve for x
    x = 1,030,474,201/20,179
  6. Step 6: Final answer
    x = 51,066.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.