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Finding the Third Proportional to 6,186.94 and 14,099.63

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Solution

The third proportional to 6,186.94 and 14,099.63 is: 32,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.94 : 14,099.63 = 14,099.63 : x
  2. Step 2: Convert to fraction form
    6,186.94/14,099.63 = 14,099.63/x
  3. Step 3: Cross multiply
    6,186.94x = 14,099.63 × 14,099.63
  4. Step 4: Simplify right side
    6,186.94x = 198,799,425.14
  5. Step 5: Solve for x
    x = 198,799,425.14/6,186.94
  6. Step 6: Final answer
    x = 32,132.12

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.