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Finding the Third Proportional to 5,991 and 13,861.50

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Solution

The third proportional to 5,991 and 13,861.50 is: 32,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991 : 13,861.50 = 13,861.50 : x
  2. Step 2: Convert to fraction form
    5,991/13,861.50 = 13,861.50/x
  3. Step 3: Cross multiply
    5,991x = 13,861.50 × 13,861.50
  4. Step 4: Simplify right side
    5,991x = 192,141,182.25
  5. Step 5: Solve for x
    x = 192,141,182.25/5,991
  6. Step 6: Final answer
    x = 32,071.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.