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Finding the Third Proportional to 6,733.69 and 14,459.63

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Solution

The third proportional to 6,733.69 and 14,459.63 is: 31,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.69 : 14,459.63 = 14,459.63 : x
  2. Step 2: Convert to fraction form
    6,733.69/14,459.63 = 14,459.63/x
  3. Step 3: Cross multiply
    6,733.69x = 14,459.63 × 14,459.63
  4. Step 4: Simplify right side
    6,733.69x = 209,080,755.14
  5. Step 5: Solve for x
    x = 209,080,755.14/6,733.69
  6. Step 6: Final answer
    x = 31,049.96

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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.