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Finding the Third Proportional to 8,051 and 12,865

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Solution

The third proportional to 8,051 and 12,865 is: 20,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 12,865 = 12,865 : x
  2. Step 2: Convert to fraction form
    8,051/12,865 = 12,865/x
  3. Step 3: Cross multiply
    8,051x = 12,865 × 12,865
  4. Step 4: Simplify right side
    8,051x = 165,508,225
  5. Step 5: Solve for x
    x = 165,508,225/8,051
  6. Step 6: Final answer
    x = 20,557.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.