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Finding the Third Proportional to 26,029.69 and 35,272.69

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Solution

The third proportional to 26,029.69 and 35,272.69 is: 47,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,029.69 : 35,272.69 = 35,272.69 : x
  2. Step 2: Convert to fraction form
    26,029.69/35,272.69 = 35,272.69/x
  3. Step 3: Cross multiply
    26,029.69x = 35,272.69 × 35,272.69
  4. Step 4: Simplify right side
    26,029.69x = 1,244,162,483.47
  5. Step 5: Solve for x
    x = 1,244,162,483.47/26,029.69
  6. Step 6: Final answer
    x = 47,797.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.