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Finding the Third Proportional to 8,348.06 and 17,627.63

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Solution

The third proportional to 8,348.06 and 17,627.63 is: 37,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.06 : 17,627.63 = 17,627.63 : x
  2. Step 2: Convert to fraction form
    8,348.06/17,627.63 = 17,627.63/x
  3. Step 3: Cross multiply
    8,348.06x = 17,627.63 × 17,627.63
  4. Step 4: Simplify right side
    8,348.06x = 310,733,163.14
  5. Step 5: Solve for x
    x = 310,733,163.14/8,348.06
  6. Step 6: Final answer
    x = 37,222.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.