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Finding the Third Proportional to 1,999.69 and 4,637.25

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Solution

The third proportional to 1,999.69 and 4,637.25 is: 10,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.69 : 4,637.25 = 4,637.25 : x
  2. Step 2: Convert to fraction form
    1,999.69/4,637.25 = 4,637.25/x
  3. Step 3: Cross multiply
    1,999.69x = 4,637.25 × 4,637.25
  4. Step 4: Simplify right side
    1,999.69x = 21,504,087.56
  5. Step 5: Solve for x
    x = 21,504,087.56/1,999.69
  6. Step 6: Final answer
    x = 10,753.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.