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Finding the Third Proportional to 13,884 and 22,081.50

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Solution

The third proportional to 13,884 and 22,081.50 is: 35,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 22,081.50 = 22,081.50 : x
  2. Step 2: Convert to fraction form
    13,884/22,081.50 = 22,081.50/x
  3. Step 3: Cross multiply
    13,884x = 22,081.50 × 22,081.50
  4. Step 4: Simplify right side
    13,884x = 487,592,642.25
  5. Step 5: Solve for x
    x = 487,592,642.25/13,884
  6. Step 6: Final answer
    x = 35,119.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.