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Finding the Third Proportional to 9,998.44 and 21,642.19

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Solution

The third proportional to 9,998.44 and 21,642.19 is: 46,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.44 : 21,642.19 = 21,642.19 : x
  2. Step 2: Convert to fraction form
    9,998.44/21,642.19 = 21,642.19/x
  3. Step 3: Cross multiply
    9,998.44x = 21,642.19 × 21,642.19
  4. Step 4: Simplify right side
    9,998.44x = 468,384,279.79
  5. Step 5: Solve for x
    x = 468,384,279.79/9,998.44
  6. Step 6: Final answer
    x = 46,845.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.