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Finding the Third Proportional to 29,538 and 63,172

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Solution

The third proportional to 29,538 and 63,172 is: 135,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538 : 63,172 = 63,172 : x
  2. Step 2: Convert to fraction form
    29,538/63,172 = 63,172/x
  3. Step 3: Cross multiply
    29,538x = 63,172 × 63,172
  4. Step 4: Simplify right side
    29,538x = 3,990,701,584
  5. Step 5: Solve for x
    x = 3,990,701,584/29,538
  6. Step 6: Final answer
    x = 135,103.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.