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Finding the Third Proportional to 34,902 and 49,869

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Solution

The third proportional to 34,902 and 49,869 is: 71,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902 : 49,869 = 49,869 : x
  2. Step 2: Convert to fraction form
    34,902/49,869 = 49,869/x
  3. Step 3: Cross multiply
    34,902x = 49,869 × 49,869
  4. Step 4: Simplify right side
    34,902x = 2,486,917,161
  5. Step 5: Solve for x
    x = 2,486,917,161/34,902
  6. Step 6: Final answer
    x = 71,254.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.