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Finding the Third Proportional to 14,531 and 30,694

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Solution

The third proportional to 14,531 and 30,694 is: 64,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531 : 30,694 = 30,694 : x
  2. Step 2: Convert to fraction form
    14,531/30,694 = 30,694/x
  3. Step 3: Cross multiply
    14,531x = 30,694 × 30,694
  4. Step 4: Simplify right side
    14,531x = 942,121,636
  5. Step 5: Solve for x
    x = 942,121,636/14,531
  6. Step 6: Final answer
    x = 64,835.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.