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Finding the Third Proportional to 1,252.69 and 2,010.09

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Solution

The third proportional to 1,252.69 and 2,010.09 is: 3,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.69 : 2,010.09 = 2,010.09 : x
  2. Step 2: Convert to fraction form
    1,252.69/2,010.09 = 2,010.09/x
  3. Step 3: Cross multiply
    1,252.69x = 2,010.09 × 2,010.09
  4. Step 4: Simplify right side
    1,252.69x = 4,040,476.88
  5. Step 5: Solve for x
    x = 4,040,476.88/1,252.69
  6. Step 6: Final answer
    x = 3,225.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.