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Finding the Third Proportional to 34,522.88 and 73,185.75

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Solution

The third proportional to 34,522.88 and 73,185.75 is: 155,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522.88 : 73,185.75 = 73,185.75 : x
  2. Step 2: Convert to fraction form
    34,522.88/73,185.75 = 73,185.75/x
  3. Step 3: Cross multiply
    34,522.88x = 73,185.75 × 73,185.75
  4. Step 4: Simplify right side
    34,522.88x = 5,356,154,003.06
  5. Step 5: Solve for x
    x = 5,356,154,003.06/34,522.88
  6. Step 6: Final answer
    x = 155,147.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.