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Finding the Third Proportional to 8,812 and 10,156

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Solution

The third proportional to 8,812 and 10,156 is: 11,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812 : 10,156 = 10,156 : x
  2. Step 2: Convert to fraction form
    8,812/10,156 = 10,156/x
  3. Step 3: Cross multiply
    8,812x = 10,156 × 10,156
  4. Step 4: Simplify right side
    8,812x = 103,144,336
  5. Step 5: Solve for x
    x = 103,144,336/8,812
  6. Step 6: Final answer
    x = 11,704.99

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.