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Finding the Third Proportional to 29,014 and 39,147

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Solution

The third proportional to 29,014 and 39,147 is: 52,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,014 : 39,147 = 39,147 : x
  2. Step 2: Convert to fraction form
    29,014/39,147 = 39,147/x
  3. Step 3: Cross multiply
    29,014x = 39,147 × 39,147
  4. Step 4: Simplify right side
    29,014x = 1,532,487,609
  5. Step 5: Solve for x
    x = 1,532,487,609/29,014
  6. Step 6: Final answer
    x = 52,818.90

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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.