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Finding the Third Proportional to 11,901 and 26,988

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Solution

The third proportional to 11,901 and 26,988 is: 61,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 26,988 = 26,988 : x
  2. Step 2: Convert to fraction form
    11,901/26,988 = 26,988/x
  3. Step 3: Cross multiply
    11,901x = 26,988 × 26,988
  4. Step 4: Simplify right side
    11,901x = 728,352,144
  5. Step 5: Solve for x
    x = 728,352,144/11,901
  6. Step 6: Final answer
    x = 61,200.92

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.