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Finding the Third Proportional to 3,973.69 and 5,273.06

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Solution

The third proportional to 3,973.69 and 5,273.06 is: 6,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.69 : 5,273.06 = 5,273.06 : x
  2. Step 2: Convert to fraction form
    3,973.69/5,273.06 = 5,273.06/x
  3. Step 3: Cross multiply
    3,973.69x = 5,273.06 × 5,273.06
  4. Step 4: Simplify right side
    3,973.69x = 27,805,188.13
  5. Step 5: Solve for x
    x = 27,805,188.13/3,973.69
  6. Step 6: Final answer
    x = 6,997.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.