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Finding the Third Proportional to 13,536.75 and 20,305.13

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Solution

The third proportional to 13,536.75 and 20,305.13 is: 30,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.75 : 20,305.13 = 20,305.13 : x
  2. Step 2: Convert to fraction form
    13,536.75/20,305.13 = 20,305.13/x
  3. Step 3: Cross multiply
    13,536.75x = 20,305.13 × 20,305.13
  4. Step 4: Simplify right side
    13,536.75x = 412,298,101.27
  5. Step 5: Solve for x
    x = 412,298,101.27/13,536.75
  6. Step 6: Final answer
    x = 30,457.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.