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Finding the Third Proportional to 34,627.50 and 73,993.50

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Solution

The third proportional to 34,627.50 and 73,993.50 is: 158,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,627.50 : 73,993.50 = 73,993.50 : x
  2. Step 2: Convert to fraction form
    34,627.50/73,993.50 = 73,993.50/x
  3. Step 3: Cross multiply
    34,627.50x = 73,993.50 × 73,993.50
  4. Step 4: Simplify right side
    34,627.50x = 5,475,038,042.25
  5. Step 5: Solve for x
    x = 5,475,038,042.25/34,627.50
  6. Step 6: Final answer
    x = 158,112.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.