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Finding the Third Proportional to 18,290.81 and 37,614.38

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Solution

The third proportional to 18,290.81 and 37,614.38 is: 77,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290.81 : 37,614.38 = 37,614.38 : x
  2. Step 2: Convert to fraction form
    18,290.81/37,614.38 = 37,614.38/x
  3. Step 3: Cross multiply
    18,290.81x = 37,614.38 × 37,614.38
  4. Step 4: Simplify right side
    18,290.81x = 1,414,841,206.64
  5. Step 5: Solve for x
    x = 1,414,841,206.64/18,290.81
  6. Step 6: Final answer
    x = 77,352.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.