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Finding the Third Proportional to 39,770 and 60,903

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Solution

The third proportional to 39,770 and 60,903 is: 93,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770 : 60,903 = 60,903 : x
  2. Step 2: Convert to fraction form
    39,770/60,903 = 60,903/x
  3. Step 3: Cross multiply
    39,770x = 60,903 × 60,903
  4. Step 4: Simplify right side
    39,770x = 3,709,175,409
  5. Step 5: Solve for x
    x = 3,709,175,409/39,770
  6. Step 6: Final answer
    x = 93,265.66

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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.