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Finding the Third Proportional to 12,081.66 and 26,464.22

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Solution

The third proportional to 12,081.66 and 26,464.22 is: 57,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.66 : 26,464.22 = 26,464.22 : x
  2. Step 2: Convert to fraction form
    12,081.66/26,464.22 = 26,464.22/x
  3. Step 3: Cross multiply
    12,081.66x = 26,464.22 × 26,464.22
  4. Step 4: Simplify right side
    12,081.66x = 700,354,874.05
  5. Step 5: Solve for x
    x = 700,354,874.05/12,081.66
  6. Step 6: Final answer
    x = 57,968.45

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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.