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Finding the Third Proportional to 6,517 and 15,373

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Solution

The third proportional to 6,517 and 15,373 is: 36,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517 : 15,373 = 15,373 : x
  2. Step 2: Convert to fraction form
    6,517/15,373 = 15,373/x
  3. Step 3: Cross multiply
    6,517x = 15,373 × 15,373
  4. Step 4: Simplify right side
    6,517x = 236,329,129
  5. Step 5: Solve for x
    x = 236,329,129/6,517
  6. Step 6: Final answer
    x = 36,263.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.