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Finding the Third Proportional to 38,365 and 58,884

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Solution

The third proportional to 38,365 and 58,884 is: 90,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,365 : 58,884 = 58,884 : x
  2. Step 2: Convert to fraction form
    38,365/58,884 = 58,884/x
  3. Step 3: Cross multiply
    38,365x = 58,884 × 58,884
  4. Step 4: Simplify right side
    38,365x = 3,467,325,456
  5. Step 5: Solve for x
    x = 3,467,325,456/38,365
  6. Step 6: Final answer
    x = 90,377.31

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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.