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Finding the Third Proportional to 38,179 and 56,127

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Solution

The third proportional to 38,179 and 56,127 is: 82,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,179 : 56,127 = 56,127 : x
  2. Step 2: Convert to fraction form
    38,179/56,127 = 56,127/x
  3. Step 3: Cross multiply
    38,179x = 56,127 × 56,127
  4. Step 4: Simplify right side
    38,179x = 3,150,240,129
  5. Step 5: Solve for x
    x = 3,150,240,129/38,179
  6. Step 6: Final answer
    x = 82,512.38

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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.