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Finding the Third Proportional to 13,774 and 28,364

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Solution

The third proportional to 13,774 and 28,364 is: 58,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 28,364 = 28,364 : x
  2. Step 2: Convert to fraction form
    13,774/28,364 = 28,364/x
  3. Step 3: Cross multiply
    13,774x = 28,364 × 28,364
  4. Step 4: Simplify right side
    13,774x = 804,516,496
  5. Step 5: Solve for x
    x = 804,516,496/13,774
  6. Step 6: Final answer
    x = 58,408.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.