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Finding the Third Proportional to 8,051 and 13,031

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Solution

The third proportional to 8,051 and 13,031 is: 21,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 13,031 = 13,031 : x
  2. Step 2: Convert to fraction form
    8,051/13,031 = 13,031/x
  3. Step 3: Cross multiply
    8,051x = 13,031 × 13,031
  4. Step 4: Simplify right side
    8,051x = 169,806,961
  5. Step 5: Solve for x
    x = 169,806,961/8,051
  6. Step 6: Final answer
    x = 21,091.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.