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Finding the Third Proportional to 6,346 and 15,269

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Solution

The third proportional to 6,346 and 15,269 is: 36,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346 : 15,269 = 15,269 : x
  2. Step 2: Convert to fraction form
    6,346/15,269 = 15,269/x
  3. Step 3: Cross multiply
    6,346x = 15,269 × 15,269
  4. Step 4: Simplify right side
    6,346x = 233,142,361
  5. Step 5: Solve for x
    x = 233,142,361/6,346
  6. Step 6: Final answer
    x = 36,738.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.