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Finding the Third Proportional to 31,893.75 and 74,494.69

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Solution

The third proportional to 31,893.75 and 74,494.69 is: 173,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.75 : 74,494.69 = 74,494.69 : x
  2. Step 2: Convert to fraction form
    31,893.75/74,494.69 = 74,494.69/x
  3. Step 3: Cross multiply
    31,893.75x = 74,494.69 × 74,494.69
  4. Step 4: Simplify right side
    31,893.75x = 5,549,458,465.72
  5. Step 5: Solve for x
    x = 5,549,458,465.72/31,893.75
  6. Step 6: Final answer
    x = 173,998.31

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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.