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Finding the Third Proportional to 14,815 and 31,819

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Solution

The third proportional to 14,815 and 31,819 is: 68,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,815 : 31,819 = 31,819 : x
  2. Step 2: Convert to fraction form
    14,815/31,819 = 31,819/x
  3. Step 3: Cross multiply
    14,815x = 31,819 × 31,819
  4. Step 4: Simplify right side
    14,815x = 1,012,448,761
  5. Step 5: Solve for x
    x = 1,012,448,761/14,815
  6. Step 6: Final answer
    x = 68,339.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.