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Finding the Third Proportional to 35,560 and 83,626

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Solution

The third proportional to 35,560 and 83,626 is: 196,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,560 : 83,626 = 83,626 : x
  2. Step 2: Convert to fraction form
    35,560/83,626 = 83,626/x
  3. Step 3: Cross multiply
    35,560x = 83,626 × 83,626
  4. Step 4: Simplify right side
    35,560x = 6,993,307,876
  5. Step 5: Solve for x
    x = 6,993,307,876/35,560
  6. Step 6: Final answer
    x = 196,662.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.