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Finding the Third Proportional to 25,905.38 and 40,003.31

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Solution

The third proportional to 25,905.38 and 40,003.31 is: 61,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905.38 : 40,003.31 = 40,003.31 : x
  2. Step 2: Convert to fraction form
    25,905.38/40,003.31 = 40,003.31/x
  3. Step 3: Cross multiply
    25,905.38x = 40,003.31 × 40,003.31
  4. Step 4: Simplify right side
    25,905.38x = 1,600,265,010.97
  5. Step 5: Solve for x
    x = 1,600,265,010.97/25,905.38
  6. Step 6: Final answer
    x = 61,773.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.