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Finding the Third Proportional to 7,054 and 7,675

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Solution

The third proportional to 7,054 and 7,675 is: 8,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054 : 7,675 = 7,675 : x
  2. Step 2: Convert to fraction form
    7,054/7,675 = 7,675/x
  3. Step 3: Cross multiply
    7,054x = 7,675 × 7,675
  4. Step 4: Simplify right side
    7,054x = 58,905,625
  5. Step 5: Solve for x
    x = 58,905,625/7,054
  6. Step 6: Final answer
    x = 8,350.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.