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Finding the Third Proportional to 29,016 and 39,151

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Solution

The third proportional to 29,016 and 39,151 is: 52,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,016 : 39,151 = 39,151 : x
  2. Step 2: Convert to fraction form
    29,016/39,151 = 39,151/x
  3. Step 3: Cross multiply
    29,016x = 39,151 × 39,151
  4. Step 4: Simplify right side
    29,016x = 1,532,800,801
  5. Step 5: Solve for x
    x = 1,532,800,801/29,016
  6. Step 6: Final answer
    x = 52,826.05

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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.