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Finding the Third Proportional to 5,071 and 10,651

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Solution

The third proportional to 5,071 and 10,651 is: 22,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071 : 10,651 = 10,651 : x
  2. Step 2: Convert to fraction form
    5,071/10,651 = 10,651/x
  3. Step 3: Cross multiply
    5,071x = 10,651 × 10,651
  4. Step 4: Simplify right side
    5,071x = 113,443,801
  5. Step 5: Solve for x
    x = 113,443,801/5,071
  6. Step 6: Final answer
    x = 22,371.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.