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Finding the Third Proportional to 29,132 and 43,682

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Solution

The third proportional to 29,132 and 43,682 is: 65,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,132 : 43,682 = 43,682 : x
  2. Step 2: Convert to fraction form
    29,132/43,682 = 43,682/x
  3. Step 3: Cross multiply
    29,132x = 43,682 × 43,682
  4. Step 4: Simplify right side
    29,132x = 1,908,117,124
  5. Step 5: Solve for x
    x = 1,908,117,124/29,132
  6. Step 6: Final answer
    x = 65,499.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.