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Finding the Third Proportional to 29,832 and 41,818

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Solution

The third proportional to 29,832 and 41,818 is: 58,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832 : 41,818 = 41,818 : x
  2. Step 2: Convert to fraction form
    29,832/41,818 = 41,818/x
  3. Step 3: Cross multiply
    29,832x = 41,818 × 41,818
  4. Step 4: Simplify right side
    29,832x = 1,748,745,124
  5. Step 5: Solve for x
    x = 1,748,745,124/29,832
  6. Step 6: Final answer
    x = 58,619.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.