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Finding the Third Proportional to 12,347.44 and 29,843.44

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Solution

The third proportional to 12,347.44 and 29,843.44 is: 72,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.44 : 29,843.44 = 29,843.44 : x
  2. Step 2: Convert to fraction form
    12,347.44/29,843.44 = 29,843.44/x
  3. Step 3: Cross multiply
    12,347.44x = 29,843.44 × 29,843.44
  4. Step 4: Simplify right side
    12,347.44x = 890,630,761.82
  5. Step 5: Solve for x
    x = 890,630,761.82/12,347.44
  6. Step 6: Final answer
    x = 72,130.82

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.