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Finding the Third Proportional to 38,101.75 and 57,150.63

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Solution

The third proportional to 38,101.75 and 57,150.63 is: 85,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.75 : 57,150.63 = 57,150.63 : x
  2. Step 2: Convert to fraction form
    38,101.75/57,150.63 = 57,150.63/x
  3. Step 3: Cross multiply
    38,101.75x = 57,150.63 × 57,150.63
  4. Step 4: Simplify right side
    38,101.75x = 3,266,193,937.89
  5. Step 5: Solve for x
    x = 3,266,193,937.89/38,101.75
  6. Step 6: Final answer
    x = 85,722.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.