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Finding the Third Proportional to 12,473.44 and 27,276.19

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Solution

The third proportional to 12,473.44 and 27,276.19 is: 59,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.44 : 27,276.19 = 27,276.19 : x
  2. Step 2: Convert to fraction form
    12,473.44/27,276.19 = 27,276.19/x
  3. Step 3: Cross multiply
    12,473.44x = 27,276.19 × 27,276.19
  4. Step 4: Simplify right side
    12,473.44x = 743,990,404.54
  5. Step 5: Solve for x
    x = 743,990,404.54/12,473.44
  6. Step 6: Final answer
    x = 59,645.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.