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Finding the Third Proportional to 48,204 and 72,024

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Solution

The third proportional to 48,204 and 72,024 is: 107,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 72,024 = 72,024 : x
  2. Step 2: Convert to fraction form
    48,204/72,024 = 72,024/x
  3. Step 3: Cross multiply
    48,204x = 72,024 × 72,024
  4. Step 4: Simplify right side
    48,204x = 5,187,456,576
  5. Step 5: Solve for x
    x = 5,187,456,576/48,204
  6. Step 6: Final answer
    x = 107,614.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.