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Finding the Third Proportional to 22,467.50 and 48,899.50

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Solution

The third proportional to 22,467.50 and 48,899.50 is: 106,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.50 : 48,899.50 = 48,899.50 : x
  2. Step 2: Convert to fraction form
    22,467.50/48,899.50 = 48,899.50/x
  3. Step 3: Cross multiply
    22,467.50x = 48,899.50 × 48,899.50
  4. Step 4: Simplify right side
    22,467.50x = 2,391,161,100.25
  5. Step 5: Solve for x
    x = 2,391,161,100.25/22,467.50
  6. Step 6: Final answer
    x = 106,427.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.