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Finding the Third Proportional to 35,057 and 75,766

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Solution

The third proportional to 35,057 and 75,766 is: 163,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057 : 75,766 = 75,766 : x
  2. Step 2: Convert to fraction form
    35,057/75,766 = 75,766/x
  3. Step 3: Cross multiply
    35,057x = 75,766 × 75,766
  4. Step 4: Simplify right side
    35,057x = 5,740,486,756
  5. Step 5: Solve for x
    x = 5,740,486,756/35,057
  6. Step 6: Final answer
    x = 163,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.