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Finding the Third Proportional to 38,173 and 54,982

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Solution

The third proportional to 38,173 and 54,982 is: 79,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173 : 54,982 = 54,982 : x
  2. Step 2: Convert to fraction form
    38,173/54,982 = 54,982/x
  3. Step 3: Cross multiply
    38,173x = 54,982 × 54,982
  4. Step 4: Simplify right side
    38,173x = 3,023,020,324
  5. Step 5: Solve for x
    x = 3,023,020,324/38,173
  6. Step 6: Final answer
    x = 79,192.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.