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Finding the Third Proportional to 17,964.75 and 27,196.50

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Solution

The third proportional to 17,964.75 and 27,196.50 is: 41,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.75 : 27,196.50 = 27,196.50 : x
  2. Step 2: Convert to fraction form
    17,964.75/27,196.50 = 27,196.50/x
  3. Step 3: Cross multiply
    17,964.75x = 27,196.50 × 27,196.50
  4. Step 4: Simplify right side
    17,964.75x = 739,649,612.25
  5. Step 5: Solve for x
    x = 739,649,612.25/17,964.75
  6. Step 6: Final answer
    x = 41,172.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.