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Finding the Third Proportional to 38,074 and 81,982

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Solution

The third proportional to 38,074 and 81,982 is: 176,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074 : 81,982 = 81,982 : x
  2. Step 2: Convert to fraction form
    38,074/81,982 = 81,982/x
  3. Step 3: Cross multiply
    38,074x = 81,982 × 81,982
  4. Step 4: Simplify right side
    38,074x = 6,721,048,324
  5. Step 5: Solve for x
    x = 6,721,048,324/38,074
  6. Step 6: Final answer
    x = 176,525.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.