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Finding the Third Proportional to 13,231.83 and 28,382.34

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Solution

The third proportional to 13,231.83 and 28,382.34 is: 60,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.83 : 28,382.34 = 28,382.34 : x
  2. Step 2: Convert to fraction form
    13,231.83/28,382.34 = 28,382.34/x
  3. Step 3: Cross multiply
    13,231.83x = 28,382.34 × 28,382.34
  4. Step 4: Simplify right side
    13,231.83x = 805,557,436.74
  5. Step 5: Solve for x
    x = 805,557,436.74/13,231.83
  6. Step 6: Final answer
    x = 60,880.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.