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Finding the Third Proportional to 11,901 and 25,107

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Solution

The third proportional to 11,901 and 25,107 is: 52,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 25,107 = 25,107 : x
  2. Step 2: Convert to fraction form
    11,901/25,107 = 25,107/x
  3. Step 3: Cross multiply
    11,901x = 25,107 × 25,107
  4. Step 4: Simplify right side
    11,901x = 630,361,449
  5. Step 5: Solve for x
    x = 630,361,449/11,901
  6. Step 6: Final answer
    x = 52,967.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.