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Finding the Third Proportional to 29,736 and 57,960

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Solution

The third proportional to 29,736 and 57,960 is: 112,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,736 : 57,960 = 57,960 : x
  2. Step 2: Convert to fraction form
    29,736/57,960 = 57,960/x
  3. Step 3: Cross multiply
    29,736x = 57,960 × 57,960
  4. Step 4: Simplify right side
    29,736x = 3,359,361,600
  5. Step 5: Solve for x
    x = 3,359,361,600/29,736
  6. Step 6: Final answer
    x = 112,972.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.