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Finding the Third Proportional to 29,011 and 39,142

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Solution

The third proportional to 29,011 and 39,142 is: 52,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,011 : 39,142 = 39,142 : x
  2. Step 2: Convert to fraction form
    29,011/39,142 = 39,142/x
  3. Step 3: Cross multiply
    29,011x = 39,142 × 39,142
  4. Step 4: Simplify right side
    29,011x = 1,532,096,164
  5. Step 5: Solve for x
    x = 1,532,096,164/29,011
  6. Step 6: Final answer
    x = 52,810.87

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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.