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Finding the Third Proportional to 23,581.78 and 35,593.22

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Solution

The third proportional to 23,581.78 and 35,593.22 is: 53,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.78 : 35,593.22 = 35,593.22 : x
  2. Step 2: Convert to fraction form
    23,581.78/35,593.22 = 35,593.22/x
  3. Step 3: Cross multiply
    23,581.78x = 35,593.22 × 35,593.22
  4. Step 4: Simplify right side
    23,581.78x = 1,266,877,220.99
  5. Step 5: Solve for x
    x = 1,266,877,220.99/23,581.78
  6. Step 6: Final answer
    x = 53,722.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.