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Finding the Third Proportional to 21,007.69 and 32,529.09

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Solution

The third proportional to 21,007.69 and 32,529.09 is: 50,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.69 : 32,529.09 = 32,529.09 : x
  2. Step 2: Convert to fraction form
    21,007.69/32,529.09 = 32,529.09/x
  3. Step 3: Cross multiply
    21,007.69x = 32,529.09 × 32,529.09
  4. Step 4: Simplify right side
    21,007.69x = 1,058,141,940.20
  5. Step 5: Solve for x
    x = 1,058,141,940.20/21,007.69
  6. Step 6: Final answer
    x = 50,369.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.