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Finding the Third Proportional to 38,175 and 58,395

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Solution

The third proportional to 38,175 and 58,395 is: 89,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175 : 58,395 = 58,395 : x
  2. Step 2: Convert to fraction form
    38,175/58,395 = 58,395/x
  3. Step 3: Cross multiply
    38,175x = 58,395 × 58,395
  4. Step 4: Simplify right side
    38,175x = 3,409,976,025
  5. Step 5: Solve for x
    x = 3,409,976,025/38,175
  6. Step 6: Final answer
    x = 89,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.