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Finding the Third Proportional to 11,608 and 17,700.50

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Solution

The third proportional to 11,608 and 17,700.50 is: 26,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608 : 17,700.50 = 17,700.50 : x
  2. Step 2: Convert to fraction form
    11,608/17,700.50 = 17,700.50/x
  3. Step 3: Cross multiply
    11,608x = 17,700.50 × 17,700.50
  4. Step 4: Simplify right side
    11,608x = 313,307,700.25
  5. Step 5: Solve for x
    x = 313,307,700.25/11,608
  6. Step 6: Final answer
    x = 26,990.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.