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Finding the Third Proportional to 15,815 and 35,131

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Solution

The third proportional to 15,815 and 35,131 is: 78,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815 : 35,131 = 35,131 : x
  2. Step 2: Convert to fraction form
    15,815/35,131 = 35,131/x
  3. Step 3: Cross multiply
    15,815x = 35,131 × 35,131
  4. Step 4: Simplify right side
    15,815x = 1,234,187,161
  5. Step 5: Solve for x
    x = 1,234,187,161/15,815
  6. Step 6: Final answer
    x = 78,039.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.