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Finding the Third Proportional to 11,859.75 and 26,344.13

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Solution

The third proportional to 11,859.75 and 26,344.13 is: 58,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.75 : 26,344.13 = 26,344.13 : x
  2. Step 2: Convert to fraction form
    11,859.75/26,344.13 = 26,344.13/x
  3. Step 3: Cross multiply
    11,859.75x = 26,344.13 × 26,344.13
  4. Step 4: Simplify right side
    11,859.75x = 694,012,922.02
  5. Step 5: Solve for x
    x = 694,012,922.02/11,859.75
  6. Step 6: Final answer
    x = 58,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.