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Finding the Third Proportional to 8,666 and 13,793

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Solution

The third proportional to 8,666 and 13,793 is: 21,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666 : 13,793 = 13,793 : x
  2. Step 2: Convert to fraction form
    8,666/13,793 = 13,793/x
  3. Step 3: Cross multiply
    8,666x = 13,793 × 13,793
  4. Step 4: Simplify right side
    8,666x = 190,246,849
  5. Step 5: Solve for x
    x = 190,246,849/8,666
  6. Step 6: Final answer
    x = 21,953.25

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Why These Related Problems?

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