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Finding the Third Proportional to 42,991.50 and 66,431.25

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Solution

The third proportional to 42,991.50 and 66,431.25 is: 102,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,991.50 : 66,431.25 = 66,431.25 : x
  2. Step 2: Convert to fraction form
    42,991.50/66,431.25 = 66,431.25/x
  3. Step 3: Cross multiply
    42,991.50x = 66,431.25 × 66,431.25
  4. Step 4: Simplify right side
    42,991.50x = 4,413,110,976.56
  5. Step 5: Solve for x
    x = 4,413,110,976.56/42,991.50
  6. Step 6: Final answer
    x = 102,650.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.