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Finding the Third Proportional to 18,697.22 and 41,027.06

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Solution

The third proportional to 18,697.22 and 41,027.06 is: 90,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.22 : 41,027.06 = 41,027.06 : x
  2. Step 2: Convert to fraction form
    18,697.22/41,027.06 = 41,027.06/x
  3. Step 3: Cross multiply
    18,697.22x = 41,027.06 × 41,027.06
  4. Step 4: Simplify right side
    18,697.22x = 1,683,219,857.38
  5. Step 5: Solve for x
    x = 1,683,219,857.38/18,697.22
  6. Step 6: Final answer
    x = 90,025.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.