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Finding the Third Proportional to 6,346 and 9,223

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Solution

The third proportional to 6,346 and 9,223 is: 13,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346 : 9,223 = 9,223 : x
  2. Step 2: Convert to fraction form
    6,346/9,223 = 9,223/x
  3. Step 3: Cross multiply
    6,346x = 9,223 × 9,223
  4. Step 4: Simplify right side
    6,346x = 85,063,729
  5. Step 5: Solve for x
    x = 85,063,729/6,346
  6. Step 6: Final answer
    x = 13,404.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.