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Finding the Third Proportional to 9,091 and 13,901

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Solution

The third proportional to 9,091 and 13,901 is: 21,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091 : 13,901 = 13,901 : x
  2. Step 2: Convert to fraction form
    9,091/13,901 = 13,901/x
  3. Step 3: Cross multiply
    9,091x = 13,901 × 13,901
  4. Step 4: Simplify right side
    9,091x = 193,237,801
  5. Step 5: Solve for x
    x = 193,237,801/9,091
  6. Step 6: Final answer
    x = 21,255.95

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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.