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Finding the Third Proportional to 26,797.50 and 39,396.38

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Solution

The third proportional to 26,797.50 and 39,396.38 is: 57,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,797.50 : 39,396.38 = 39,396.38 : x
  2. Step 2: Convert to fraction form
    26,797.50/39,396.38 = 39,396.38/x
  3. Step 3: Cross multiply
    26,797.50x = 39,396.38 × 39,396.38
  4. Step 4: Simplify right side
    26,797.50x = 1,552,074,363.14
  5. Step 5: Solve for x
    x = 1,552,074,363.14/26,797.50
  6. Step 6: Final answer
    x = 57,918.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.