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Finding the Third Proportional to 35,968 and 76,657

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Solution

The third proportional to 35,968 and 76,657 is: 163,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968 : 76,657 = 76,657 : x
  2. Step 2: Convert to fraction form
    35,968/76,657 = 76,657/x
  3. Step 3: Cross multiply
    35,968x = 76,657 × 76,657
  4. Step 4: Simplify right side
    35,968x = 5,876,295,649
  5. Step 5: Solve for x
    x = 5,876,295,649/35,968
  6. Step 6: Final answer
    x = 163,375.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.