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Finding the Third Proportional to 11,905.88 and 26,161.88

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Solution

The third proportional to 11,905.88 and 26,161.88 is: 57,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.88 : 26,161.88 = 26,161.88 : x
  2. Step 2: Convert to fraction form
    11,905.88/26,161.88 = 26,161.88/x
  3. Step 3: Cross multiply
    11,905.88x = 26,161.88 × 26,161.88
  4. Step 4: Simplify right side
    11,905.88x = 684,443,703.52
  5. Step 5: Solve for x
    x = 684,443,703.52/11,905.88
  6. Step 6: Final answer
    x = 57,487.90

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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.