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Finding the Third Proportional to 10,363.50 and 22,326.75

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Solution

The third proportional to 10,363.50 and 22,326.75 is: 48,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.50 : 22,326.75 = 22,326.75 : x
  2. Step 2: Convert to fraction form
    10,363.50/22,326.75 = 22,326.75/x
  3. Step 3: Cross multiply
    10,363.50x = 22,326.75 × 22,326.75
  4. Step 4: Simplify right side
    10,363.50x = 498,483,765.56
  5. Step 5: Solve for x
    x = 498,483,765.56/10,363.50
  6. Step 6: Final answer
    x = 48,099.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.