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Finding the Third Proportional to 48,895 and 73,451

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Solution

The third proportional to 48,895 and 73,451 is: 110,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,895 : 73,451 = 73,451 : x
  2. Step 2: Convert to fraction form
    48,895/73,451 = 73,451/x
  3. Step 3: Cross multiply
    48,895x = 73,451 × 73,451
  4. Step 4: Simplify right side
    48,895x = 5,395,049,401
  5. Step 5: Solve for x
    x = 5,395,049,401/48,895
  6. Step 6: Final answer
    x = 110,339.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.