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Finding the Third Proportional to 8,283.94 and 17,593.03

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Solution

The third proportional to 8,283.94 and 17,593.03 is: 37,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.94 : 17,593.03 = 17,593.03 : x
  2. Step 2: Convert to fraction form
    8,283.94/17,593.03 = 17,593.03/x
  3. Step 3: Cross multiply
    8,283.94x = 17,593.03 × 17,593.03
  4. Step 4: Simplify right side
    8,283.94x = 309,514,748.56
  5. Step 5: Solve for x
    x = 309,514,748.56/8,283.94
  6. Step 6: Final answer
    x = 37,363.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.