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Finding the Third Proportional to 13,758 and 28,866

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Solution

The third proportional to 13,758 and 28,866 is: 60,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 28,866 = 28,866 : x
  2. Step 2: Convert to fraction form
    13,758/28,866 = 28,866/x
  3. Step 3: Cross multiply
    13,758x = 28,866 × 28,866
  4. Step 4: Simplify right side
    13,758x = 833,245,956
  5. Step 5: Solve for x
    x = 833,245,956/13,758
  6. Step 6: Final answer
    x = 60,564.47

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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.