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Finding the Third Proportional to 31,940.50 and 74,603.50

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Solution

The third proportional to 31,940.50 and 74,603.50 is: 174,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.50 : 74,603.50 = 74,603.50 : x
  2. Step 2: Convert to fraction form
    31,940.50/74,603.50 = 74,603.50/x
  3. Step 3: Cross multiply
    31,940.50x = 74,603.50 × 74,603.50
  4. Step 4: Simplify right side
    31,940.50x = 5,565,682,212.25
  5. Step 5: Solve for x
    x = 5,565,682,212.25/31,940.50
  6. Step 6: Final answer
    x = 174,251.57

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.