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Finding the Third Proportional to 29,052 and 67,932

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Solution

The third proportional to 29,052 and 67,932 is: 158,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052 : 67,932 = 67,932 : x
  2. Step 2: Convert to fraction form
    29,052/67,932 = 67,932/x
  3. Step 3: Cross multiply
    29,052x = 67,932 × 67,932
  4. Step 4: Simplify right side
    29,052x = 4,614,756,624
  5. Step 5: Solve for x
    x = 4,614,756,624/29,052
  6. Step 6: Final answer
    x = 158,844.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.