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Finding the Third Proportional to 9,939.38 and 21,837.94

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Solution

The third proportional to 9,939.38 and 21,837.94 is: 47,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.38 : 21,837.94 = 21,837.94 : x
  2. Step 2: Convert to fraction form
    9,939.38/21,837.94 = 21,837.94/x
  3. Step 3: Cross multiply
    9,939.38x = 21,837.94 × 21,837.94
  4. Step 4: Simplify right side
    9,939.38x = 476,895,514.25
  5. Step 5: Solve for x
    x = 476,895,514.25/9,939.38
  6. Step 6: Final answer
    x = 47,980.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.