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Finding the Third Proportional to 26,148.19 and 41,553.56

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Solution

The third proportional to 26,148.19 and 41,553.56 is: 66,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148.19 : 41,553.56 = 41,553.56 : x
  2. Step 2: Convert to fraction form
    26,148.19/41,553.56 = 41,553.56/x
  3. Step 3: Cross multiply
    26,148.19x = 41,553.56 × 41,553.56
  4. Step 4: Simplify right side
    26,148.19x = 1,726,698,556.44
  5. Step 5: Solve for x
    x = 1,726,698,556.44/26,148.19
  6. Step 6: Final answer
    x = 66,035.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.