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Finding the Third Proportional to 14,865 and 34,839

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Solution

The third proportional to 14,865 and 34,839 is: 81,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 34,839 = 34,839 : x
  2. Step 2: Convert to fraction form
    14,865/34,839 = 34,839/x
  3. Step 3: Cross multiply
    14,865x = 34,839 × 34,839
  4. Step 4: Simplify right side
    14,865x = 1,213,755,921
  5. Step 5: Solve for x
    x = 1,213,755,921/14,865
  6. Step 6: Final answer
    x = 81,651.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.