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Finding the Third Proportional to 9,826 and 16,107

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Solution

The third proportional to 9,826 and 16,107 is: 26,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826 : 16,107 = 16,107 : x
  2. Step 2: Convert to fraction form
    9,826/16,107 = 16,107/x
  3. Step 3: Cross multiply
    9,826x = 16,107 × 16,107
  4. Step 4: Simplify right side
    9,826x = 259,435,449
  5. Step 5: Solve for x
    x = 259,435,449/9,826
  6. Step 6: Final answer
    x = 26,402.96

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.