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Finding the Third Proportional to 5,322 and 7,098

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Solution

The third proportional to 5,322 and 7,098 is: 9,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322 : 7,098 = 7,098 : x
  2. Step 2: Convert to fraction form
    5,322/7,098 = 7,098/x
  3. Step 3: Cross multiply
    5,322x = 7,098 × 7,098
  4. Step 4: Simplify right side
    5,322x = 50,381,604
  5. Step 5: Solve for x
    x = 50,381,604/5,322
  6. Step 6: Final answer
    x = 9,466.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.