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Finding the Third Proportional to 11,207.53 and 23,072.24

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Solution

The third proportional to 11,207.53 and 23,072.24 is: 47,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.53 : 23,072.24 = 23,072.24 : x
  2. Step 2: Convert to fraction form
    11,207.53/23,072.24 = 23,072.24/x
  3. Step 3: Cross multiply
    11,207.53x = 23,072.24 × 23,072.24
  4. Step 4: Simplify right side
    11,207.53x = 532,328,179.31
  5. Step 5: Solve for x
    x = 532,328,179.31/11,207.53
  6. Step 6: Final answer
    x = 47,497.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.