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Finding the Third Proportional to 40,777 and 62,696

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Solution

The third proportional to 40,777 and 62,696 is: 96,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,777 : 62,696 = 62,696 : x
  2. Step 2: Convert to fraction form
    40,777/62,696 = 62,696/x
  3. Step 3: Cross multiply
    40,777x = 62,696 × 62,696
  4. Step 4: Simplify right side
    40,777x = 3,930,788,416
  5. Step 5: Solve for x
    x = 3,930,788,416/40,777
  6. Step 6: Final answer
    x = 96,397.19

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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.