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Finding the Third Proportional to 38,159 and 58,371.75

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Solution

The third proportional to 38,159 and 58,371.75 is: 89,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,159 : 58,371.75 = 58,371.75 : x
  2. Step 2: Convert to fraction form
    38,159/58,371.75 = 58,371.75/x
  3. Step 3: Cross multiply
    38,159x = 58,371.75 × 58,371.75
  4. Step 4: Simplify right side
    38,159x = 3,407,261,198.06
  5. Step 5: Solve for x
    x = 3,407,261,198.06/38,159
  6. Step 6: Final answer
    x = 89,291.16

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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.