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Finding the Third Proportional to 12,148.31 and 18,476.44

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Solution

The third proportional to 12,148.31 and 18,476.44 is: 28,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.31 : 18,476.44 = 18,476.44 : x
  2. Step 2: Convert to fraction form
    12,148.31/18,476.44 = 18,476.44/x
  3. Step 3: Cross multiply
    12,148.31x = 18,476.44 × 18,476.44
  4. Step 4: Simplify right side
    12,148.31x = 341,378,742.69
  5. Step 5: Solve for x
    x = 341,378,742.69/12,148.31
  6. Step 6: Final answer
    x = 28,100.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.