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Finding the Third Proportional to 8,410.88 and 18,294.94

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Solution

The third proportional to 8,410.88 and 18,294.94 is: 39,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.88 : 18,294.94 = 18,294.94 : x
  2. Step 2: Convert to fraction form
    8,410.88/18,294.94 = 18,294.94/x
  3. Step 3: Cross multiply
    8,410.88x = 18,294.94 × 18,294.94
  4. Step 4: Simplify right side
    8,410.88x = 334,704,738.13
  5. Step 5: Solve for x
    x = 334,704,738.13/8,410.88
  6. Step 6: Final answer
    x = 39,794.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.