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Finding the Third Proportional to 8,530.50 and 18,344.06

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Solution

The third proportional to 8,530.50 and 18,344.06 is: 39,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.50 : 18,344.06 = 18,344.06 : x
  2. Step 2: Convert to fraction form
    8,530.50/18,344.06 = 18,344.06/x
  3. Step 3: Cross multiply
    8,530.50x = 18,344.06 × 18,344.06
  4. Step 4: Simplify right side
    8,530.50x = 336,504,629.00
  5. Step 5: Solve for x
    x = 336,504,629.00/8,530.50
  6. Step 6: Final answer
    x = 39,447.23

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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.