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Finding the Third Proportional to 36,801 and 57,307.50

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Solution

The third proportional to 36,801 and 57,307.50 is: 89,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,801 : 57,307.50 = 57,307.50 : x
  2. Step 2: Convert to fraction form
    36,801/57,307.50 = 57,307.50/x
  3. Step 3: Cross multiply
    36,801x = 57,307.50 × 57,307.50
  4. Step 4: Simplify right side
    36,801x = 3,284,149,556.25
  5. Step 5: Solve for x
    x = 3,284,149,556.25/36,801
  6. Step 6: Final answer
    x = 89,240.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.