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Finding the Third Proportional to 22,605.75 and 48,147.75

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Solution

The third proportional to 22,605.75 and 48,147.75 is: 102,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.75 : 48,147.75 = 48,147.75 : x
  2. Step 2: Convert to fraction form
    22,605.75/48,147.75 = 48,147.75/x
  3. Step 3: Cross multiply
    22,605.75x = 48,147.75 × 48,147.75
  4. Step 4: Simplify right side
    22,605.75x = 2,318,205,830.06
  5. Step 5: Solve for x
    x = 2,318,205,830.06/22,605.75
  6. Step 6: Final answer
    x = 102,549.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.