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Finding the Third Proportional to 45,436.50 and 68,972.25

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Solution

The third proportional to 45,436.50 and 68,972.25 is: 104,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,436.50 : 68,972.25 = 68,972.25 : x
  2. Step 2: Convert to fraction form
    45,436.50/68,972.25 = 68,972.25/x
  3. Step 3: Cross multiply
    45,436.50x = 68,972.25 × 68,972.25
  4. Step 4: Simplify right side
    45,436.50x = 4,757,171,270.06
  5. Step 5: Solve for x
    x = 4,757,171,270.06/45,436.50
  6. Step 6: Final answer
    x = 104,699.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.