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Finding the Third Proportional to 3,974.63 and 9,239.63

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Solution

The third proportional to 3,974.63 and 9,239.63 is: 21,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.63 : 9,239.63 = 9,239.63 : x
  2. Step 2: Convert to fraction form
    3,974.63/9,239.63 = 9,239.63/x
  3. Step 3: Cross multiply
    3,974.63x = 9,239.63 × 9,239.63
  4. Step 4: Simplify right side
    3,974.63x = 85,370,670.14
  5. Step 5: Solve for x
    x = 85,370,670.14/3,974.63
  6. Step 6: Final answer
    x = 21,478.92

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.