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Finding the Third Proportional to 2,287.69 and 3,106.97

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Solution

The third proportional to 2,287.69 and 3,106.97 is: 4,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.69 : 3,106.97 = 3,106.97 : x
  2. Step 2: Convert to fraction form
    2,287.69/3,106.97 = 3,106.97/x
  3. Step 3: Cross multiply
    2,287.69x = 3,106.97 × 3,106.97
  4. Step 4: Simplify right side
    2,287.69x = 9,653,254.81
  5. Step 5: Solve for x
    x = 9,653,254.81/2,287.69
  6. Step 6: Final answer
    x = 4,219.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.