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Finding the Third Proportional to 7,493 and 8,213

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Solution

The third proportional to 7,493 and 8,213 is: 9,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493 : 8,213 = 8,213 : x
  2. Step 2: Convert to fraction form
    7,493/8,213 = 8,213/x
  3. Step 3: Cross multiply
    7,493x = 8,213 × 8,213
  4. Step 4: Simplify right side
    7,493x = 67,453,369
  5. Step 5: Solve for x
    x = 67,453,369/7,493
  6. Step 6: Final answer
    x = 9,002.18

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.