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Finding the Third Proportional to 13,148.44 and 28,141.31

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Solution

The third proportional to 13,148.44 and 28,141.31 is: 60,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.44 : 28,141.31 = 28,141.31 : x
  2. Step 2: Convert to fraction form
    13,148.44/28,141.31 = 28,141.31/x
  3. Step 3: Cross multiply
    13,148.44x = 28,141.31 × 28,141.31
  4. Step 4: Simplify right side
    13,148.44x = 791,933,469.22
  5. Step 5: Solve for x
    x = 791,933,469.22/13,148.44
  6. Step 6: Final answer
    x = 60,230.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.