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Finding the Third Proportional to 38,876 and 59,770

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Solution

The third proportional to 38,876 and 59,770 is: 91,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876 : 59,770 = 59,770 : x
  2. Step 2: Convert to fraction form
    38,876/59,770 = 59,770/x
  3. Step 3: Cross multiply
    38,876x = 59,770 × 59,770
  4. Step 4: Simplify right side
    38,876x = 3,572,452,900
  5. Step 5: Solve for x
    x = 3,572,452,900/38,876
  6. Step 6: Final answer
    x = 91,893.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.