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Finding the Third Proportional to 6,922 and 16,117

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Solution

The third proportional to 6,922 and 16,117 is: 37,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922 : 16,117 = 16,117 : x
  2. Step 2: Convert to fraction form
    6,922/16,117 = 16,117/x
  3. Step 3: Cross multiply
    6,922x = 16,117 × 16,117
  4. Step 4: Simplify right side
    6,922x = 259,757,689
  5. Step 5: Solve for x
    x = 259,757,689/6,922
  6. Step 6: Final answer
    x = 37,526.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.