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Finding the Third Proportional to 26,920.69 and 55,184.63

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Solution

The third proportional to 26,920.69 and 55,184.63 is: 113,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920.69 : 55,184.63 = 55,184.63 : x
  2. Step 2: Convert to fraction form
    26,920.69/55,184.63 = 55,184.63/x
  3. Step 3: Cross multiply
    26,920.69x = 55,184.63 × 55,184.63
  4. Step 4: Simplify right side
    26,920.69x = 3,045,342,836.39
  5. Step 5: Solve for x
    x = 3,045,342,836.39/26,920.69
  6. Step 6: Final answer
    x = 113,122.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.