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Finding the Third Proportional to 7,819.66 and 16,186.08

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Solution

The third proportional to 7,819.66 and 16,186.08 is: 33,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.66 : 16,186.08 = 16,186.08 : x
  2. Step 2: Convert to fraction form
    7,819.66/16,186.08 = 16,186.08/x
  3. Step 3: Cross multiply
    7,819.66x = 16,186.08 × 16,186.08
  4. Step 4: Simplify right side
    7,819.66x = 261,989,125.07
  5. Step 5: Solve for x
    x = 261,989,125.07/7,819.66
  6. Step 6: Final answer
    x = 33,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.