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Finding the Third Proportional to 7,989.75 and 17,373.38

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Solution

The third proportional to 7,989.75 and 17,373.38 is: 37,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.75 : 17,373.38 = 17,373.38 : x
  2. Step 2: Convert to fraction form
    7,989.75/17,373.38 = 17,373.38/x
  3. Step 3: Cross multiply
    7,989.75x = 17,373.38 × 17,373.38
  4. Step 4: Simplify right side
    7,989.75x = 301,834,158.89
  5. Step 5: Solve for x
    x = 301,834,158.89/7,989.75
  6. Step 6: Final answer
    x = 37,777.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.