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Finding the Third Proportional to 34,698 and 51,906

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Solution

The third proportional to 34,698 and 51,906 is: 77,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698 : 51,906 = 51,906 : x
  2. Step 2: Convert to fraction form
    34,698/51,906 = 51,906/x
  3. Step 3: Cross multiply
    34,698x = 51,906 × 51,906
  4. Step 4: Simplify right side
    34,698x = 2,694,232,836
  5. Step 5: Solve for x
    x = 2,694,232,836/34,698
  6. Step 6: Final answer
    x = 77,648.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.