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Finding the Third Proportional to 11,967.75 and 17,959.22

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Solution

The third proportional to 11,967.75 and 17,959.22 is: 26,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 17,959.22 = 17,959.22 : x
  2. Step 2: Convert to fraction form
    11,967.75/17,959.22 = 17,959.22/x
  3. Step 3: Cross multiply
    11,967.75x = 17,959.22 × 17,959.22
  4. Step 4: Simplify right side
    11,967.75x = 322,533,538.11
  5. Step 5: Solve for x
    x = 322,533,538.11/11,967.75
  6. Step 6: Final answer
    x = 26,950.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.