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Finding the Third Proportional to 11,309.63 and 24,844.22

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Solution

The third proportional to 11,309.63 and 24,844.22 is: 54,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.63 : 24,844.22 = 24,844.22 : x
  2. Step 2: Convert to fraction form
    11,309.63/24,844.22 = 24,844.22/x
  3. Step 3: Cross multiply
    11,309.63x = 24,844.22 × 24,844.22
  4. Step 4: Simplify right side
    11,309.63x = 617,235,205.30
  5. Step 5: Solve for x
    x = 617,235,205.30/11,309.63
  6. Step 6: Final answer
    x = 54,576.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.