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Finding the Third Proportional to 9,786 and 14,682

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Solution

The third proportional to 9,786 and 14,682 is: 22,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786 : 14,682 = 14,682 : x
  2. Step 2: Convert to fraction form
    9,786/14,682 = 14,682/x
  3. Step 3: Cross multiply
    9,786x = 14,682 × 14,682
  4. Step 4: Simplify right side
    9,786x = 215,561,124
  5. Step 5: Solve for x
    x = 215,561,124/9,786
  6. Step 6: Final answer
    x = 22,027.50

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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.