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Finding the Third Proportional to 8,662 and 13,573

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Solution

The third proportional to 8,662 and 13,573 is: 21,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662 : 13,573 = 13,573 : x
  2. Step 2: Convert to fraction form
    8,662/13,573 = 13,573/x
  3. Step 3: Cross multiply
    8,662x = 13,573 × 13,573
  4. Step 4: Simplify right side
    8,662x = 184,226,329
  5. Step 5: Solve for x
    x = 184,226,329/8,662
  6. Step 6: Final answer
    x = 21,268.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.