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Finding the Third Proportional to 25,670.25 and 40,759.88

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Solution

The third proportional to 25,670.25 and 40,759.88 is: 64,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.25 : 40,759.88 = 40,759.88 : x
  2. Step 2: Convert to fraction form
    25,670.25/40,759.88 = 40,759.88/x
  3. Step 3: Cross multiply
    25,670.25x = 40,759.88 × 40,759.88
  4. Step 4: Simplify right side
    25,670.25x = 1,661,367,410.02
  5. Step 5: Solve for x
    x = 1,661,367,410.02/25,670.25
  6. Step 6: Final answer
    x = 64,719.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.