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Finding the Third Proportional to 38,174 and 56,122

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Solution

The third proportional to 38,174 and 56,122 is: 82,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174 : 56,122 = 56,122 : x
  2. Step 2: Convert to fraction form
    38,174/56,122 = 56,122/x
  3. Step 3: Cross multiply
    38,174x = 56,122 × 56,122
  4. Step 4: Simplify right side
    38,174x = 3,149,678,884
  5. Step 5: Solve for x
    x = 3,149,678,884/38,174
  6. Step 6: Final answer
    x = 82,508.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.