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Finding the Third Proportional to 26,697.05 and 58,723.22

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Solution

The third proportional to 26,697.05 and 58,723.22 is: 129,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,697.05 : 58,723.22 = 58,723.22 : x
  2. Step 2: Convert to fraction form
    26,697.05/58,723.22 = 58,723.22/x
  3. Step 3: Cross multiply
    26,697.05x = 58,723.22 × 58,723.22
  4. Step 4: Simplify right side
    26,697.05x = 3,448,416,420.36
  5. Step 5: Solve for x
    x = 3,448,416,420.36/26,697.05
  6. Step 6: Final answer
    x = 129,168.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.