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Finding the Third Proportional to 38,593 and 78,258

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Solution

The third proportional to 38,593 and 78,258 is: 158,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,593 : 78,258 = 78,258 : x
  2. Step 2: Convert to fraction form
    38,593/78,258 = 78,258/x
  3. Step 3: Cross multiply
    38,593x = 78,258 × 78,258
  4. Step 4: Simplify right side
    38,593x = 6,124,314,564
  5. Step 5: Solve for x
    x = 6,124,314,564/38,593
  6. Step 6: Final answer
    x = 158,689.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.