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Finding the Third Proportional to 9,736 and 14,604

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Solution

The third proportional to 9,736 and 14,604 is: 21,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736 : 14,604 = 14,604 : x
  2. Step 2: Convert to fraction form
    9,736/14,604 = 14,604/x
  3. Step 3: Cross multiply
    9,736x = 14,604 × 14,604
  4. Step 4: Simplify right side
    9,736x = 213,276,816
  5. Step 5: Solve for x
    x = 213,276,816/9,736
  6. Step 6: Final answer
    x = 21,906

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.