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Finding the Third Proportional to 8,833 and 14,667

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Solution

The third proportional to 8,833 and 14,667 is: 24,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833 : 14,667 = 14,667 : x
  2. Step 2: Convert to fraction form
    8,833/14,667 = 14,667/x
  3. Step 3: Cross multiply
    8,833x = 14,667 × 14,667
  4. Step 4: Simplify right side
    8,833x = 215,120,889
  5. Step 5: Solve for x
    x = 215,120,889/8,833
  6. Step 6: Final answer
    x = 24,354.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.