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Finding the Third Proportional to 35,517 and 77,676

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Solution

The third proportional to 35,517 and 77,676 is: 169,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517 : 77,676 = 77,676 : x
  2. Step 2: Convert to fraction form
    35,517/77,676 = 77,676/x
  3. Step 3: Cross multiply
    35,517x = 77,676 × 77,676
  4. Step 4: Simplify right side
    35,517x = 6,033,560,976
  5. Step 5: Solve for x
    x = 6,033,560,976/35,517
  6. Step 6: Final answer
    x = 169,878.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.