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Finding the Third Proportional to 9,659 and 14,801

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Solution

The third proportional to 9,659 and 14,801 is: 22,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659 : 14,801 = 14,801 : x
  2. Step 2: Convert to fraction form
    9,659/14,801 = 14,801/x
  3. Step 3: Cross multiply
    9,659x = 14,801 × 14,801
  4. Step 4: Simplify right side
    9,659x = 219,069,601
  5. Step 5: Solve for x
    x = 219,069,601/9,659
  6. Step 6: Final answer
    x = 22,680.36

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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.