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Finding the Third Proportional to 34,930 and 51,907

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Solution

The third proportional to 34,930 and 51,907 is: 77,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930 : 51,907 = 51,907 : x
  2. Step 2: Convert to fraction form
    34,930/51,907 = 51,907/x
  3. Step 3: Cross multiply
    34,930x = 51,907 × 51,907
  4. Step 4: Simplify right side
    34,930x = 2,694,336,649
  5. Step 5: Solve for x
    x = 2,694,336,649/34,930
  6. Step 6: Final answer
    x = 77,135.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.