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Finding the Third Proportional to 13,536.56 and 20,919.66

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Solution

The third proportional to 13,536.56 and 20,919.66 is: 32,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.56 : 20,919.66 = 20,919.66 : x
  2. Step 2: Convert to fraction form
    13,536.56/20,919.66 = 20,919.66/x
  3. Step 3: Cross multiply
    13,536.56x = 20,919.66 × 20,919.66
  4. Step 4: Simplify right side
    13,536.56x = 437,632,017.62
  5. Step 5: Solve for x
    x = 437,632,017.62/13,536.56
  6. Step 6: Final answer
    x = 32,329.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.