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Finding the Third Proportional to 35,981 and 50,329

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Solution

The third proportional to 35,981 and 50,329 is: 70,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981 : 50,329 = 50,329 : x
  2. Step 2: Convert to fraction form
    35,981/50,329 = 50,329/x
  3. Step 3: Cross multiply
    35,981x = 50,329 × 50,329
  4. Step 4: Simplify right side
    35,981x = 2,533,008,241
  5. Step 5: Solve for x
    x = 2,533,008,241/35,981
  6. Step 6: Final answer
    x = 70,398.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.