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Finding the Third Proportional to 6,236 and 10,034

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Solution

The third proportional to 6,236 and 10,034 is: 16,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236 : 10,034 = 10,034 : x
  2. Step 2: Convert to fraction form
    6,236/10,034 = 10,034/x
  3. Step 3: Cross multiply
    6,236x = 10,034 × 10,034
  4. Step 4: Simplify right side
    6,236x = 100,681,156
  5. Step 5: Solve for x
    x = 100,681,156/6,236
  6. Step 6: Final answer
    x = 16,145.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.