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Finding the Third Proportional to 1,567.69 and 3,628.97

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Solution

The third proportional to 1,567.69 and 3,628.97 is: 8,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.69 : 3,628.97 = 3,628.97 : x
  2. Step 2: Convert to fraction form
    1,567.69/3,628.97 = 3,628.97/x
  3. Step 3: Cross multiply
    1,567.69x = 3,628.97 × 3,628.97
  4. Step 4: Simplify right side
    1,567.69x = 13,169,414.19
  5. Step 5: Solve for x
    x = 13,169,414.19/1,567.69
  6. Step 6: Final answer
    x = 8,400.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.