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Finding the Third Proportional to 8,494.88 and 18,354.09

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Solution

The third proportional to 8,494.88 and 18,354.09 is: 39,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.88 : 18,354.09 = 18,354.09 : x
  2. Step 2: Convert to fraction form
    8,494.88/18,354.09 = 18,354.09/x
  3. Step 3: Cross multiply
    8,494.88x = 18,354.09 × 18,354.09
  4. Step 4: Simplify right side
    8,494.88x = 336,872,757.38
  5. Step 5: Solve for x
    x = 336,872,757.38/8,494.88
  6. Step 6: Final answer
    x = 39,656.00

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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.