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Finding the Third Proportional to 11,910.75 and 17,509.50

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Solution

The third proportional to 11,910.75 and 17,509.50 is: 25,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.75 : 17,509.50 = 17,509.50 : x
  2. Step 2: Convert to fraction form
    11,910.75/17,509.50 = 17,509.50/x
  3. Step 3: Cross multiply
    11,910.75x = 17,509.50 × 17,509.50
  4. Step 4: Simplify right side
    11,910.75x = 306,582,590.25
  5. Step 5: Solve for x
    x = 306,582,590.25/11,910.75
  6. Step 6: Final answer
    x = 25,739.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.