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Finding the Third Proportional to 41,727.50 and 64,049

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Solution

The third proportional to 41,727.50 and 64,049 is: 98,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,727.50 : 64,049 = 64,049 : x
  2. Step 2: Convert to fraction form
    41,727.50/64,049 = 64,049/x
  3. Step 3: Cross multiply
    41,727.50x = 64,049 × 64,049
  4. Step 4: Simplify right side
    41,727.50x = 4,102,274,401
  5. Step 5: Solve for x
    x = 4,102,274,401/41,727.50
  6. Step 6: Final answer
    x = 98,311.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.