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Finding the Third Proportional to 29,092 and 43,858

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Solution

The third proportional to 29,092 and 43,858 is: 66,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,092 : 43,858 = 43,858 : x
  2. Step 2: Convert to fraction form
    29,092/43,858 = 43,858/x
  3. Step 3: Cross multiply
    29,092x = 43,858 × 43,858
  4. Step 4: Simplify right side
    29,092x = 1,923,524,164
  5. Step 5: Solve for x
    x = 1,923,524,164/29,092
  6. Step 6: Final answer
    x = 66,118.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.