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Finding the Third Proportional to 38,770 and 59,671

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Solution

The third proportional to 38,770 and 59,671 is: 91,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,770 : 59,671 = 59,671 : x
  2. Step 2: Convert to fraction form
    38,770/59,671 = 59,671/x
  3. Step 3: Cross multiply
    38,770x = 59,671 × 59,671
  4. Step 4: Simplify right side
    38,770x = 3,560,628,241
  5. Step 5: Solve for x
    x = 3,560,628,241/38,770
  6. Step 6: Final answer
    x = 91,839.78

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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.