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Finding the Third Proportional to 38,980 and 58,822.75

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Solution

The third proportional to 38,980 and 58,822.75 is: 88,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980 : 58,822.75 = 58,822.75 : x
  2. Step 2: Convert to fraction form
    38,980/58,822.75 = 58,822.75/x
  3. Step 3: Cross multiply
    38,980x = 58,822.75 × 58,822.75
  4. Step 4: Simplify right side
    38,980x = 3,460,115,917.56
  5. Step 5: Solve for x
    x = 3,460,115,917.56/38,980
  6. Step 6: Final answer
    x = 88,766.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.