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Finding the Third Proportional to 8,692 and 13,850

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Solution

The third proportional to 8,692 and 13,850 is: 22,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692 : 13,850 = 13,850 : x
  2. Step 2: Convert to fraction form
    8,692/13,850 = 13,850/x
  3. Step 3: Cross multiply
    8,692x = 13,850 × 13,850
  4. Step 4: Simplify right side
    8,692x = 191,822,500
  5. Step 5: Solve for x
    x = 191,822,500/8,692
  6. Step 6: Final answer
    x = 22,068.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.