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Finding the Third Proportional to 26,217.56 and 56,142.56

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Solution

The third proportional to 26,217.56 and 56,142.56 is: 120,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,217.56 : 56,142.56 = 56,142.56 : x
  2. Step 2: Convert to fraction form
    26,217.56/56,142.56 = 56,142.56/x
  3. Step 3: Cross multiply
    26,217.56x = 56,142.56 × 56,142.56
  4. Step 4: Simplify right side
    26,217.56x = 3,151,987,324.07
  5. Step 5: Solve for x
    x = 3,151,987,324.07/26,217.56
  6. Step 6: Final answer
    x = 120,224.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.