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Finding the Third Proportional to 12,833.44 and 27,583.03

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Solution

The third proportional to 12,833.44 and 27,583.03 is: 59,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.44 : 27,583.03 = 27,583.03 : x
  2. Step 2: Convert to fraction form
    12,833.44/27,583.03 = 27,583.03/x
  3. Step 3: Cross multiply
    12,833.44x = 27,583.03 × 27,583.03
  4. Step 4: Simplify right side
    12,833.44x = 760,823,612.94
  5. Step 5: Solve for x
    x = 760,823,612.94/12,833.44
  6. Step 6: Final answer
    x = 59,284.48

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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.