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Finding the Third Proportional to 49,230 and 72,805

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Solution

The third proportional to 49,230 and 72,805 is: 107,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,230 : 72,805 = 72,805 : x
  2. Step 2: Convert to fraction form
    49,230/72,805 = 72,805/x
  3. Step 3: Cross multiply
    49,230x = 72,805 × 72,805
  4. Step 4: Simplify right side
    49,230x = 5,300,568,025
  5. Step 5: Solve for x
    x = 5,300,568,025/49,230
  6. Step 6: Final answer
    x = 107,669.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.