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Finding the Third Proportional to 8,054 and 12,322

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Solution

The third proportional to 8,054 and 12,322 is: 18,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 12,322 = 12,322 : x
  2. Step 2: Convert to fraction form
    8,054/12,322 = 12,322/x
  3. Step 3: Cross multiply
    8,054x = 12,322 × 12,322
  4. Step 4: Simplify right side
    8,054x = 151,831,684
  5. Step 5: Solve for x
    x = 151,831,684/8,054
  6. Step 6: Final answer
    x = 18,851.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.