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Finding the Third Proportional to 4,054.43 and 8,715.09

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Solution

The third proportional to 4,054.43 and 8,715.09 is: 18,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.43 : 8,715.09 = 8,715.09 : x
  2. Step 2: Convert to fraction form
    4,054.43/8,715.09 = 8,715.09/x
  3. Step 3: Cross multiply
    4,054.43x = 8,715.09 × 8,715.09
  4. Step 4: Simplify right side
    4,054.43x = 75,952,859.07
  5. Step 5: Solve for x
    x = 75,952,859.07/4,054.43
  6. Step 6: Final answer
    x = 18,733.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.