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Finding the Third Proportional to 6,359.13 and 13,812.82

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Solution

The third proportional to 6,359.13 and 13,812.82 is: 30,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.13 : 13,812.82 = 13,812.82 : x
  2. Step 2: Convert to fraction form
    6,359.13/13,812.82 = 13,812.82/x
  3. Step 3: Cross multiply
    6,359.13x = 13,812.82 × 13,812.82
  4. Step 4: Simplify right side
    6,359.13x = 190,794,004.99
  5. Step 5: Solve for x
    x = 190,794,004.99/6,359.13
  6. Step 6: Final answer
    x = 30,003.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.