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Finding the Third Proportional to 26,272.69 and 39,367.69

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Solution

The third proportional to 26,272.69 and 39,367.69 is: 58,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272.69 : 39,367.69 = 39,367.69 : x
  2. Step 2: Convert to fraction form
    26,272.69/39,367.69 = 39,367.69/x
  3. Step 3: Cross multiply
    26,272.69x = 39,367.69 × 39,367.69
  4. Step 4: Simplify right side
    26,272.69x = 1,549,814,819.10
  5. Step 5: Solve for x
    x = 1,549,814,819.10/26,272.69
  6. Step 6: Final answer
    x = 58,989.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.