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Finding the Third Proportional to 38,177 and 56,125

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Solution

The third proportional to 38,177 and 56,125 is: 82,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177 : 56,125 = 56,125 : x
  2. Step 2: Convert to fraction form
    38,177/56,125 = 56,125/x
  3. Step 3: Cross multiply
    38,177x = 56,125 × 56,125
  4. Step 4: Simplify right side
    38,177x = 3,150,015,625
  5. Step 5: Solve for x
    x = 3,150,015,625/38,177
  6. Step 6: Final answer
    x = 82,510.82

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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.