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Finding the Third Proportional to 38,391.19 and 58,123.97

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Solution

The third proportional to 38,391.19 and 58,123.97 is: 87,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,391.19 : 58,123.97 = 58,123.97 : x
  2. Step 2: Convert to fraction form
    38,391.19/58,123.97 = 58,123.97/x
  3. Step 3: Cross multiply
    38,391.19x = 58,123.97 × 58,123.97
  4. Step 4: Simplify right side
    38,391.19x = 3,378,395,743.25
  5. Step 5: Solve for x
    x = 3,378,395,743.25/38,391.19
  6. Step 6: Final answer
    x = 87,999.25

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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.