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Finding the Third Proportional to 29,885 and 43,963

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Solution

The third proportional to 29,885 and 43,963 is: 64,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,885 : 43,963 = 43,963 : x
  2. Step 2: Convert to fraction form
    29,885/43,963 = 43,963/x
  3. Step 3: Cross multiply
    29,885x = 43,963 × 43,963
  4. Step 4: Simplify right side
    29,885x = 1,932,745,369
  5. Step 5: Solve for x
    x = 1,932,745,369/29,885
  6. Step 6: Final answer
    x = 64,672.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.