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Finding the Third Proportional to 11,853.21 and 26,995.15

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Solution

The third proportional to 11,853.21 and 26,995.15 is: 61,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.21 : 26,995.15 = 26,995.15 : x
  2. Step 2: Convert to fraction form
    11,853.21/26,995.15 = 26,995.15/x
  3. Step 3: Cross multiply
    11,853.21x = 26,995.15 × 26,995.15
  4. Step 4: Simplify right side
    11,853.21x = 728,738,039.16
  5. Step 5: Solve for x
    x = 728,738,039.16/11,853.21
  6. Step 6: Final answer
    x = 61,480.22

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.