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Finding the Third Proportional to 38,042 and 57,178

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Solution

The third proportional to 38,042 and 57,178 is: 85,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 57,178 = 57,178 : x
  2. Step 2: Convert to fraction form
    38,042/57,178 = 57,178/x
  3. Step 3: Cross multiply
    38,042x = 57,178 × 57,178
  4. Step 4: Simplify right side
    38,042x = 3,269,323,684
  5. Step 5: Solve for x
    x = 3,269,323,684/38,042
  6. Step 6: Final answer
    x = 85,939.85

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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.