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Finding the Third Proportional to 34,703 and 49,138

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Solution

The third proportional to 34,703 and 49,138 is: 69,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703 : 49,138 = 49,138 : x
  2. Step 2: Convert to fraction form
    34,703/49,138 = 49,138/x
  3. Step 3: Cross multiply
    34,703x = 49,138 × 49,138
  4. Step 4: Simplify right side
    34,703x = 2,414,543,044
  5. Step 5: Solve for x
    x = 2,414,543,044/34,703
  6. Step 6: Final answer
    x = 69,577.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.