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Finding the Third Proportional to 48,964.50 and 73,261.13

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Solution

The third proportional to 48,964.50 and 73,261.13 is: 109,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,964.50 : 73,261.13 = 73,261.13 : x
  2. Step 2: Convert to fraction form
    48,964.50/73,261.13 = 73,261.13/x
  3. Step 3: Cross multiply
    48,964.50x = 73,261.13 × 73,261.13
  4. Step 4: Simplify right side
    48,964.50x = 5,367,192,436.27
  5. Step 5: Solve for x
    x = 5,367,192,436.27/48,964.50
  6. Step 6: Final answer
    x = 109,613.95

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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.