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Finding the Third Proportional to 8,736 and 14,224

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Solution

The third proportional to 8,736 and 14,224 is: 23,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736 : 14,224 = 14,224 : x
  2. Step 2: Convert to fraction form
    8,736/14,224 = 14,224/x
  3. Step 3: Cross multiply
    8,736x = 14,224 × 14,224
  4. Step 4: Simplify right side
    8,736x = 202,322,176
  5. Step 5: Solve for x
    x = 202,322,176/8,736
  6. Step 6: Final answer
    x = 23,159.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.