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Finding the Third Proportional to 13,294 and 27,965

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Solution

The third proportional to 13,294 and 27,965 is: 58,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294 : 27,965 = 27,965 : x
  2. Step 2: Convert to fraction form
    13,294/27,965 = 27,965/x
  3. Step 3: Cross multiply
    13,294x = 27,965 × 27,965
  4. Step 4: Simplify right side
    13,294x = 782,041,225
  5. Step 5: Solve for x
    x = 782,041,225/13,294
  6. Step 6: Final answer
    x = 58,826.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.