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Finding the Third Proportional to 29,017 and 39,149

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Solution

The third proportional to 29,017 and 39,149 is: 52,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,017 : 39,149 = 39,149 : x
  2. Step 2: Convert to fraction form
    29,017/39,149 = 39,149/x
  3. Step 3: Cross multiply
    29,017x = 39,149 × 39,149
  4. Step 4: Simplify right side
    29,017x = 1,532,644,201
  5. Step 5: Solve for x
    x = 1,532,644,201/29,017
  6. Step 6: Final answer
    x = 52,818.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.