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Finding the Third Proportional to 4,306 and 8,736

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Solution

The third proportional to 4,306 and 8,736 is: 17,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 8,736 = 8,736 : x
  2. Step 2: Convert to fraction form
    4,306/8,736 = 8,736/x
  3. Step 3: Cross multiply
    4,306x = 8,736 × 8,736
  4. Step 4: Simplify right side
    4,306x = 76,317,696
  5. Step 5: Solve for x
    x = 76,317,696/4,306
  6. Step 6: Final answer
    x = 17,723.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.