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Finding the Third Proportional to 8,113.50 and 16,844.63

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Solution

The third proportional to 8,113.50 and 16,844.63 is: 34,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 16,844.63 = 16,844.63 : x
  2. Step 2: Convert to fraction form
    8,113.50/16,844.63 = 16,844.63/x
  3. Step 3: Cross multiply
    8,113.50x = 16,844.63 × 16,844.63
  4. Step 4: Simplify right side
    8,113.50x = 283,741,391.39
  5. Step 5: Solve for x
    x = 283,741,391.39/8,113.50
  6. Step 6: Final answer
    x = 34,971.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.