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Finding the Third Proportional to 14,698 and 34,691

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Solution

The third proportional to 14,698 and 34,691 is: 81,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 34,691 = 34,691 : x
  2. Step 2: Convert to fraction form
    14,698/34,691 = 34,691/x
  3. Step 3: Cross multiply
    14,698x = 34,691 × 34,691
  4. Step 4: Simplify right side
    14,698x = 1,203,465,481
  5. Step 5: Solve for x
    x = 1,203,465,481/14,698
  6. Step 6: Final answer
    x = 81,879.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.