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Finding the Third Proportional to 26,706.38 and 41,516.44

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Solution

The third proportional to 26,706.38 and 41,516.44 is: 64,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.38 : 41,516.44 = 41,516.44 : x
  2. Step 2: Convert to fraction form
    26,706.38/41,516.44 = 41,516.44/x
  3. Step 3: Cross multiply
    26,706.38x = 41,516.44 × 41,516.44
  4. Step 4: Simplify right side
    26,706.38x = 1,723,614,582.69
  5. Step 5: Solve for x
    x = 1,723,614,582.69/26,706.38
  6. Step 6: Final answer
    x = 64,539.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.