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Finding the Third Proportional to 9,849.94 and 21,338.44

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Solution

The third proportional to 9,849.94 and 21,338.44 is: 46,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.94 : 21,338.44 = 21,338.44 : x
  2. Step 2: Convert to fraction form
    9,849.94/21,338.44 = 21,338.44/x
  3. Step 3: Cross multiply
    9,849.94x = 21,338.44 × 21,338.44
  4. Step 4: Simplify right side
    9,849.94x = 455,328,914.94
  5. Step 5: Solve for x
    x = 455,328,914.94/9,849.94
  6. Step 6: Final answer
    x = 46,226.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.