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Finding the Third Proportional to 35,620 and 50,630

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Solution

The third proportional to 35,620 and 50,630 is: 71,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,620 : 50,630 = 50,630 : x
  2. Step 2: Convert to fraction form
    35,620/50,630 = 50,630/x
  3. Step 3: Cross multiply
    35,620x = 50,630 × 50,630
  4. Step 4: Simplify right side
    35,620x = 2,563,396,900
  5. Step 5: Solve for x
    x = 2,563,396,900/35,620
  6. Step 6: Final answer
    x = 71,965.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.