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Finding the Third Proportional to 26,022 and 34,593.75

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Solution

The third proportional to 26,022 and 34,593.75 is: 45,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 34,593.75 = 34,593.75 : x
  2. Step 2: Convert to fraction form
    26,022/34,593.75 = 34,593.75/x
  3. Step 3: Cross multiply
    26,022x = 34,593.75 × 34,593.75
  4. Step 4: Simplify right side
    26,022x = 1,196,727,539.06
  5. Step 5: Solve for x
    x = 1,196,727,539.06/26,022
  6. Step 6: Final answer
    x = 45,989.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.