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Finding the Third Proportional to 38,601 and 61,173

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Solution

The third proportional to 38,601 and 61,173 is: 96,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,601 : 61,173 = 61,173 : x
  2. Step 2: Convert to fraction form
    38,601/61,173 = 61,173/x
  3. Step 3: Cross multiply
    38,601x = 61,173 × 61,173
  4. Step 4: Simplify right side
    38,601x = 3,742,135,929
  5. Step 5: Solve for x
    x = 3,742,135,929/38,601
  6. Step 6: Final answer
    x = 96,944.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.