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Finding the Third Proportional to 6,167 and 12,562

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Solution

The third proportional to 6,167 and 12,562 is: 25,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167 : 12,562 = 12,562 : x
  2. Step 2: Convert to fraction form
    6,167/12,562 = 12,562/x
  3. Step 3: Cross multiply
    6,167x = 12,562 × 12,562
  4. Step 4: Simplify right side
    6,167x = 157,803,844
  5. Step 5: Solve for x
    x = 157,803,844/6,167
  6. Step 6: Final answer
    x = 25,588.43

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.