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Finding the Third Proportional to 11,638.69 and 25,122.66

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Solution

The third proportional to 11,638.69 and 25,122.66 is: 54,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.69 : 25,122.66 = 25,122.66 : x
  2. Step 2: Convert to fraction form
    11,638.69/25,122.66 = 25,122.66/x
  3. Step 3: Cross multiply
    11,638.69x = 25,122.66 × 25,122.66
  4. Step 4: Simplify right side
    11,638.69x = 631,147,857.06
  5. Step 5: Solve for x
    x = 631,147,857.06/11,638.69
  6. Step 6: Final answer
    x = 54,228.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.