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Finding the Third Proportional to 25,771.50 and 39,016.13

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Solution

The third proportional to 25,771.50 and 39,016.13 is: 59,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.50 : 39,016.13 = 39,016.13 : x
  2. Step 2: Convert to fraction form
    25,771.50/39,016.13 = 39,016.13/x
  3. Step 3: Cross multiply
    25,771.50x = 39,016.13 × 39,016.13
  4. Step 4: Simplify right side
    25,771.50x = 1,522,258,010.02
  5. Step 5: Solve for x
    x = 1,522,258,010.02/25,771.50
  6. Step 6: Final answer
    x = 59,067.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.