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Finding the Third Proportional to 12,833.44 and 27,853.88

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Solution

The third proportional to 12,833.44 and 27,853.88 is: 60,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.44 : 27,853.88 = 27,853.88 : x
  2. Step 2: Convert to fraction form
    12,833.44/27,853.88 = 27,853.88/x
  3. Step 3: Cross multiply
    12,833.44x = 27,853.88 × 27,853.88
  4. Step 4: Simplify right side
    12,833.44x = 775,838,352.52
  5. Step 5: Solve for x
    x = 775,838,352.52/12,833.44
  6. Step 6: Final answer
    x = 60,454.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.