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Finding the Third Proportional to 3,113.69 and 6,736.19

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Solution

The third proportional to 3,113.69 and 6,736.19 is: 14,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.69 : 6,736.19 = 6,736.19 : x
  2. Step 2: Convert to fraction form
    3,113.69/6,736.19 = 6,736.19/x
  3. Step 3: Cross multiply
    3,113.69x = 6,736.19 × 6,736.19
  4. Step 4: Simplify right side
    3,113.69x = 45,376,222.04
  5. Step 5: Solve for x
    x = 45,376,222.04/3,113.69
  6. Step 6: Final answer
    x = 14,573.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.