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Finding the Third Proportional to 4,236 and 10,035

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Solution

The third proportional to 4,236 and 10,035 is: 23,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236 : 10,035 = 10,035 : x
  2. Step 2: Convert to fraction form
    4,236/10,035 = 10,035/x
  3. Step 3: Cross multiply
    4,236x = 10,035 × 10,035
  4. Step 4: Simplify right side
    4,236x = 100,701,225
  5. Step 5: Solve for x
    x = 100,701,225/4,236
  6. Step 6: Final answer
    x = 23,772.72

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.