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Finding the Third Proportional to 13,880.25 and 30,529.13

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Solution

The third proportional to 13,880.25 and 30,529.13 is: 67,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.25 : 30,529.13 = 30,529.13 : x
  2. Step 2: Convert to fraction form
    13,880.25/30,529.13 = 30,529.13/x
  3. Step 3: Cross multiply
    13,880.25x = 30,529.13 × 30,529.13
  4. Step 4: Simplify right side
    13,880.25x = 932,027,473.27
  5. Step 5: Solve for x
    x = 932,027,473.27/13,880.25
  6. Step 6: Final answer
    x = 67,147.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.