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Finding the Third Proportional to 21,747.94 and 46,344.38

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Solution

The third proportional to 21,747.94 and 46,344.38 is: 98,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747.94 : 46,344.38 = 46,344.38 : x
  2. Step 2: Convert to fraction form
    21,747.94/46,344.38 = 46,344.38/x
  3. Step 3: Cross multiply
    21,747.94x = 46,344.38 × 46,344.38
  4. Step 4: Simplify right side
    21,747.94x = 2,147,801,094.14
  5. Step 5: Solve for x
    x = 2,147,801,094.14/21,747.94
  6. Step 6: Final answer
    x = 98,758.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.