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Finding the Third Proportional to 3,106.69 and 6,210.56

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Solution

The third proportional to 3,106.69 and 6,210.56 is: 12,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.69 : 6,210.56 = 6,210.56 : x
  2. Step 2: Convert to fraction form
    3,106.69/6,210.56 = 6,210.56/x
  3. Step 3: Cross multiply
    3,106.69x = 6,210.56 × 6,210.56
  4. Step 4: Simplify right side
    3,106.69x = 38,571,086.57
  5. Step 5: Solve for x
    x = 38,571,086.57/3,106.69
  6. Step 6: Final answer
    x = 12,415.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.