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Finding the Third Proportional to 25,697.25 and 56,064.66

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Solution

The third proportional to 25,697.25 and 56,064.66 is: 122,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.25 : 56,064.66 = 56,064.66 : x
  2. Step 2: Convert to fraction form
    25,697.25/56,064.66 = 56,064.66/x
  3. Step 3: Cross multiply
    25,697.25x = 56,064.66 × 56,064.66
  4. Step 4: Simplify right side
    25,697.25x = 3,143,245,680.43
  5. Step 5: Solve for x
    x = 3,143,245,680.43/25,697.25
  6. Step 6: Final answer
    x = 122,318.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.