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Finding the Third Proportional to 48,322.50 and 68,049

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Solution

The third proportional to 48,322.50 and 68,049 is: 95,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,322.50 : 68,049 = 68,049 : x
  2. Step 2: Convert to fraction form
    48,322.50/68,049 = 68,049/x
  3. Step 3: Cross multiply
    48,322.50x = 68,049 × 68,049
  4. Step 4: Simplify right side
    48,322.50x = 4,630,666,401
  5. Step 5: Solve for x
    x = 4,630,666,401/48,322.50
  6. Step 6: Final answer
    x = 95,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.