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Finding the Third Proportional to 11,901 and 27,559.50

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Solution

The third proportional to 11,901 and 27,559.50 is: 63,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 27,559.50 = 27,559.50 : x
  2. Step 2: Convert to fraction form
    11,901/27,559.50 = 27,559.50/x
  3. Step 3: Cross multiply
    11,901x = 27,559.50 × 27,559.50
  4. Step 4: Simplify right side
    11,901x = 759,526,040.25
  5. Step 5: Solve for x
    x = 759,526,040.25/11,901
  6. Step 6: Final answer
    x = 63,820.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.