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Finding the Third Proportional to 8,021 and 12,602

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Solution

The third proportional to 8,021 and 12,602 is: 19,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 12,602 = 12,602 : x
  2. Step 2: Convert to fraction form
    8,021/12,602 = 12,602/x
  3. Step 3: Cross multiply
    8,021x = 12,602 × 12,602
  4. Step 4: Simplify right side
    8,021x = 158,810,404
  5. Step 5: Solve for x
    x = 158,810,404/8,021
  6. Step 6: Final answer
    x = 19,799.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.