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Finding the Third Proportional to 8,051 and 16,669

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Solution

The third proportional to 8,051 and 16,669 is: 34,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 16,669 = 16,669 : x
  2. Step 2: Convert to fraction form
    8,051/16,669 = 16,669/x
  3. Step 3: Cross multiply
    8,051x = 16,669 × 16,669
  4. Step 4: Simplify right side
    8,051x = 277,855,561
  5. Step 5: Solve for x
    x = 277,855,561/8,051
  6. Step 6: Final answer
    x = 34,511.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.