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Finding the Third Proportional to 38,170 and 56,151

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Solution

The third proportional to 38,170 and 56,151 is: 82,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170 : 56,151 = 56,151 : x
  2. Step 2: Convert to fraction form
    38,170/56,151 = 56,151/x
  3. Step 3: Cross multiply
    38,170x = 56,151 × 56,151
  4. Step 4: Simplify right side
    38,170x = 3,152,934,801
  5. Step 5: Solve for x
    x = 3,152,934,801/38,170
  6. Step 6: Final answer
    x = 82,602.43

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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.