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Finding the Third Proportional to 9,039.09 and 20,012.91

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Solution

The third proportional to 9,039.09 and 20,012.91 is: 44,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.09 : 20,012.91 = 20,012.91 : x
  2. Step 2: Convert to fraction form
    9,039.09/20,012.91 = 20,012.91/x
  3. Step 3: Cross multiply
    9,039.09x = 20,012.91 × 20,012.91
  4. Step 4: Simplify right side
    9,039.09x = 400,516,416.57
  5. Step 5: Solve for x
    x = 400,516,416.57/9,039.09
  6. Step 6: Final answer
    x = 44,309.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.