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Finding the Third Proportional to 34,883 and 49,818

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Solution

The third proportional to 34,883 and 49,818 is: 71,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,883 : 49,818 = 49,818 : x
  2. Step 2: Convert to fraction form
    34,883/49,818 = 49,818/x
  3. Step 3: Cross multiply
    34,883x = 49,818 × 49,818
  4. Step 4: Simplify right side
    34,883x = 2,481,833,124
  5. Step 5: Solve for x
    x = 2,481,833,124/34,883
  6. Step 6: Final answer
    x = 71,147.35

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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.