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Finding the Third Proportional to 8,286.19 and 17,895.94

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Solution

The third proportional to 8,286.19 and 17,895.94 is: 38,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.19 : 17,895.94 = 17,895.94 : x
  2. Step 2: Convert to fraction form
    8,286.19/17,895.94 = 17,895.94/x
  3. Step 3: Cross multiply
    8,286.19x = 17,895.94 × 17,895.94
  4. Step 4: Simplify right side
    8,286.19x = 320,264,579.00
  5. Step 5: Solve for x
    x = 320,264,579.00/8,286.19
  6. Step 6: Final answer
    x = 38,650.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.