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Finding the Third Proportional to 35,195 and 50,291

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Solution

The third proportional to 35,195 and 50,291 is: 71,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,195 : 50,291 = 50,291 : x
  2. Step 2: Convert to fraction form
    35,195/50,291 = 50,291/x
  3. Step 3: Cross multiply
    35,195x = 50,291 × 50,291
  4. Step 4: Simplify right side
    35,195x = 2,529,184,681
  5. Step 5: Solve for x
    x = 2,529,184,681/35,195
  6. Step 6: Final answer
    x = 71,862.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.