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Finding the Third Proportional to 13,327.03 and 20,343.66

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Solution

The third proportional to 13,327.03 and 20,343.66 is: 31,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.03 : 20,343.66 = 20,343.66 : x
  2. Step 2: Convert to fraction form
    13,327.03/20,343.66 = 20,343.66/x
  3. Step 3: Cross multiply
    13,327.03x = 20,343.66 × 20,343.66
  4. Step 4: Simplify right side
    13,327.03x = 413,864,349.62
  5. Step 5: Solve for x
    x = 413,864,349.62/13,327.03
  6. Step 6: Final answer
    x = 31,054.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.