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Finding the Third Proportional to 18,071.44 and 37,399.22

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Solution

The third proportional to 18,071.44 and 37,399.22 is: 77,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.44 : 37,399.22 = 37,399.22 : x
  2. Step 2: Convert to fraction form
    18,071.44/37,399.22 = 37,399.22/x
  3. Step 3: Cross multiply
    18,071.44x = 37,399.22 × 37,399.22
  4. Step 4: Simplify right side
    18,071.44x = 1,398,701,563.11
  5. Step 5: Solve for x
    x = 1,398,701,563.11/18,071.44
  6. Step 6: Final answer
    x = 77,398.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.