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Finding the Third Proportional to 8,051 and 11,337

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Solution

The third proportional to 8,051 and 11,337 is: 15,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 11,337 = 11,337 : x
  2. Step 2: Convert to fraction form
    8,051/11,337 = 11,337/x
  3. Step 3: Cross multiply
    8,051x = 11,337 × 11,337
  4. Step 4: Simplify right side
    8,051x = 128,527,569
  5. Step 5: Solve for x
    x = 128,527,569/8,051
  6. Step 6: Final answer
    x = 15,964.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.