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Finding the Third Proportional to 36,229 and 55,693.50

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Solution

The third proportional to 36,229 and 55,693.50 is: 85,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,229 : 55,693.50 = 55,693.50 : x
  2. Step 2: Convert to fraction form
    36,229/55,693.50 = 55,693.50/x
  3. Step 3: Cross multiply
    36,229x = 55,693.50 × 55,693.50
  4. Step 4: Simplify right side
    36,229x = 3,101,765,942.25
  5. Step 5: Solve for x
    x = 3,101,765,942.25/36,229
  6. Step 6: Final answer
    x = 85,615.56

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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.