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Finding the Third Proportional to 29,817 and 63,189

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Solution

The third proportional to 29,817 and 63,189 is: 133,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 63,189 = 63,189 : x
  2. Step 2: Convert to fraction form
    29,817/63,189 = 63,189/x
  3. Step 3: Cross multiply
    29,817x = 63,189 × 63,189
  4. Step 4: Simplify right side
    29,817x = 3,992,849,721
  5. Step 5: Solve for x
    x = 3,992,849,721/29,817
  6. Step 6: Final answer
    x = 133,911.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.