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Finding the Third Proportional to 37,199.25 and 57,440.81

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Solution

The third proportional to 37,199.25 and 57,440.81 is: 88,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,199.25 : 57,440.81 = 57,440.81 : x
  2. Step 2: Convert to fraction form
    37,199.25/57,440.81 = 57,440.81/x
  3. Step 3: Cross multiply
    37,199.25x = 57,440.81 × 57,440.81
  4. Step 4: Simplify right side
    37,199.25x = 3,299,446,940.66
  5. Step 5: Solve for x
    x = 3,299,446,940.66/37,199.25
  6. Step 6: Final answer
    x = 88,696.60

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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.