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Finding the Third Proportional to 11,736 and 19,332

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Solution

The third proportional to 11,736 and 19,332 is: 31,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736 : 19,332 = 19,332 : x
  2. Step 2: Convert to fraction form
    11,736/19,332 = 19,332/x
  3. Step 3: Cross multiply
    11,736x = 19,332 × 19,332
  4. Step 4: Simplify right side
    11,736x = 373,726,224
  5. Step 5: Solve for x
    x = 373,726,224/11,736
  6. Step 6: Final answer
    x = 31,844.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.