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Finding the Third Proportional to 38,018 and 57,099

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Solution

The third proportional to 38,018 and 57,099 is: 85,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018 : 57,099 = 57,099 : x
  2. Step 2: Convert to fraction form
    38,018/57,099 = 57,099/x
  3. Step 3: Cross multiply
    38,018x = 57,099 × 57,099
  4. Step 4: Simplify right side
    38,018x = 3,260,295,801
  5. Step 5: Solve for x
    x = 3,260,295,801/38,018
  6. Step 6: Final answer
    x = 85,756.64

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Why These Related Problems?

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