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Finding the Third Proportional to 7,847.63 and 17,244.38

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Solution

The third proportional to 7,847.63 and 17,244.38 is: 37,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.63 : 17,244.38 = 17,244.38 : x
  2. Step 2: Convert to fraction form
    7,847.63/17,244.38 = 17,244.38/x
  3. Step 3: Cross multiply
    7,847.63x = 17,244.38 × 17,244.38
  4. Step 4: Simplify right side
    7,847.63x = 297,368,469.14
  5. Step 5: Solve for x
    x = 297,368,469.14/7,847.63
  6. Step 6: Final answer
    x = 37,892.80

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Why These Related Problems?

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