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Finding the Third Proportional to 9,706 and 14,866

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Solution

The third proportional to 9,706 and 14,866 is: 22,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 14,866 = 14,866 : x
  2. Step 2: Convert to fraction form
    9,706/14,866 = 14,866/x
  3. Step 3: Cross multiply
    9,706x = 14,866 × 14,866
  4. Step 4: Simplify right side
    9,706x = 220,997,956
  5. Step 5: Solve for x
    x = 220,997,956/9,706
  6. Step 6: Final answer
    x = 22,769.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.