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Finding the Third Proportional to 9,224 and 19,997.50

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Solution

The third proportional to 9,224 and 19,997.50 is: 43,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224 : 19,997.50 = 19,997.50 : x
  2. Step 2: Convert to fraction form
    9,224/19,997.50 = 19,997.50/x
  3. Step 3: Cross multiply
    9,224x = 19,997.50 × 19,997.50
  4. Step 4: Simplify right side
    9,224x = 399,900,006.25
  5. Step 5: Solve for x
    x = 399,900,006.25/9,224
  6. Step 6: Final answer
    x = 43,354.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.