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Finding the Third Proportional to 35,505 and 76,377

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Solution

The third proportional to 35,505 and 76,377 is: 164,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505 : 76,377 = 76,377 : x
  2. Step 2: Convert to fraction form
    35,505/76,377 = 76,377/x
  3. Step 3: Cross multiply
    35,505x = 76,377 × 76,377
  4. Step 4: Simplify right side
    35,505x = 5,833,446,129
  5. Step 5: Solve for x
    x = 5,833,446,129/35,505
  6. Step 6: Final answer
    x = 164,299.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.