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Finding the Third Proportional to 25,704 and 59,499.25

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Solution

The third proportional to 25,704 and 59,499.25 is: 137,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 59,499.25 = 59,499.25 : x
  2. Step 2: Convert to fraction form
    25,704/59,499.25 = 59,499.25/x
  3. Step 3: Cross multiply
    25,704x = 59,499.25 × 59,499.25
  4. Step 4: Simplify right side
    25,704x = 3,540,160,750.56
  5. Step 5: Solve for x
    x = 3,540,160,750.56/25,704
  6. Step 6: Final answer
    x = 137,728.01

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.