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Finding the Third Proportional to 13,776.75 and 22,183.88

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Solution

The third proportional to 13,776.75 and 22,183.88 is: 35,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.75 : 22,183.88 = 22,183.88 : x
  2. Step 2: Convert to fraction form
    13,776.75/22,183.88 = 22,183.88/x
  3. Step 3: Cross multiply
    13,776.75x = 22,183.88 × 22,183.88
  4. Step 4: Simplify right side
    13,776.75x = 492,124,310.02
  5. Step 5: Solve for x
    x = 492,124,310.02/13,776.75
  6. Step 6: Final answer
    x = 35,721.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.