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Finding the Third Proportional to 49,830 and 76,302

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Solution

The third proportional to 49,830 and 76,302 is: 116,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830 : 76,302 = 76,302 : x
  2. Step 2: Convert to fraction form
    49,830/76,302 = 76,302/x
  3. Step 3: Cross multiply
    49,830x = 76,302 × 76,302
  4. Step 4: Simplify right side
    49,830x = 5,821,995,204
  5. Step 5: Solve for x
    x = 5,821,995,204/49,830
  6. Step 6: Final answer
    x = 116,837.15

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Why These Related Problems?

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