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Finding the Third Proportional to 38,178 and 56,127

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Solution

The third proportional to 38,178 and 56,127 is: 82,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 56,127 = 56,127 : x
  2. Step 2: Convert to fraction form
    38,178/56,127 = 56,127/x
  3. Step 3: Cross multiply
    38,178x = 56,127 × 56,127
  4. Step 4: Simplify right side
    38,178x = 3,150,240,129
  5. Step 5: Solve for x
    x = 3,150,240,129/38,178
  6. Step 6: Final answer
    x = 82,514.54

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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.