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Finding the Third Proportional to 13,886.44 and 19,843.59

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Solution

The third proportional to 13,886.44 and 19,843.59 is: 28,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.44 : 19,843.59 = 19,843.59 : x
  2. Step 2: Convert to fraction form
    13,886.44/19,843.59 = 19,843.59/x
  3. Step 3: Cross multiply
    13,886.44x = 19,843.59 × 19,843.59
  4. Step 4: Simplify right side
    13,886.44x = 393,768,212.92
  5. Step 5: Solve for x
    x = 393,768,212.92/13,886.44
  6. Step 6: Final answer
    x = 28,356.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.