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Finding the Third Proportional to 21,199.50 and 43,087.50

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Solution

The third proportional to 21,199.50 and 43,087.50 is: 87,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.50 : 43,087.50 = 43,087.50 : x
  2. Step 2: Convert to fraction form
    21,199.50/43,087.50 = 43,087.50/x
  3. Step 3: Cross multiply
    21,199.50x = 43,087.50 × 43,087.50
  4. Step 4: Simplify right side
    21,199.50x = 1,856,532,656.25
  5. Step 5: Solve for x
    x = 1,856,532,656.25/21,199.50
  6. Step 6: Final answer
    x = 87,574.36

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.