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Finding the Third Proportional to 11,907.42 and 26,244.42

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Solution

The third proportional to 11,907.42 and 26,244.42 is: 57,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.42 : 26,244.42 = 26,244.42 : x
  2. Step 2: Convert to fraction form
    11,907.42/26,244.42 = 26,244.42/x
  3. Step 3: Cross multiply
    11,907.42x = 26,244.42 × 26,244.42
  4. Step 4: Simplify right side
    11,907.42x = 688,769,679.55
  5. Step 5: Solve for x
    x = 688,769,679.55/11,907.42
  6. Step 6: Final answer
    x = 57,843.73

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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.