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Finding the Third Proportional to 36,918.75 and 57,276

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Solution

The third proportional to 36,918.75 and 57,276 is: 88,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,918.75 : 57,276 = 57,276 : x
  2. Step 2: Convert to fraction form
    36,918.75/57,276 = 57,276/x
  3. Step 3: Cross multiply
    36,918.75x = 57,276 × 57,276
  4. Step 4: Simplify right side
    36,918.75x = 3,280,540,176
  5. Step 5: Solve for x
    x = 3,280,540,176/36,918.75
  6. Step 6: Final answer
    x = 88,858.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.