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Finding the Third Proportional to 12,208.22 and 26,761.64

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Solution

The third proportional to 12,208.22 and 26,761.64 is: 58,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.22 : 26,761.64 = 26,761.64 : x
  2. Step 2: Convert to fraction form
    12,208.22/26,761.64 = 26,761.64/x
  3. Step 3: Cross multiply
    12,208.22x = 26,761.64 × 26,761.64
  4. Step 4: Simplify right side
    12,208.22x = 716,185,408.94
  5. Step 5: Solve for x
    x = 716,185,408.94/12,208.22
  6. Step 6: Final answer
    x = 58,664.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.