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Finding the Third Proportional to 8,466 and 18,322

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Solution

The third proportional to 8,466 and 18,322 is: 39,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 18,322 = 18,322 : x
  2. Step 2: Convert to fraction form
    8,466/18,322 = 18,322/x
  3. Step 3: Cross multiply
    8,466x = 18,322 × 18,322
  4. Step 4: Simplify right side
    8,466x = 335,695,684
  5. Step 5: Solve for x
    x = 335,695,684/8,466
  6. Step 6: Final answer
    x = 39,652.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.