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Finding the Third Proportional to 14,221.91 and 20,486.04

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Solution

The third proportional to 14,221.91 and 20,486.04 is: 29,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.91 : 20,486.04 = 20,486.04 : x
  2. Step 2: Convert to fraction form
    14,221.91/20,486.04 = 20,486.04/x
  3. Step 3: Cross multiply
    14,221.91x = 20,486.04 × 20,486.04
  4. Step 4: Simplify right side
    14,221.91x = 419,677,796.47
  5. Step 5: Solve for x
    x = 419,677,796.47/14,221.91
  6. Step 6: Final answer
    x = 29,509.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.