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Finding the Third Proportional to 7,143 and 16,692

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Solution

The third proportional to 7,143 and 16,692 is: 39,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 16,692 = 16,692 : x
  2. Step 2: Convert to fraction form
    7,143/16,692 = 16,692/x
  3. Step 3: Cross multiply
    7,143x = 16,692 × 16,692
  4. Step 4: Simplify right side
    7,143x = 278,622,864
  5. Step 5: Solve for x
    x = 278,622,864/7,143
  6. Step 6: Final answer
    x = 39,006.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.