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Finding the Third Proportional to 6,178 and 6,690

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Solution

The third proportional to 6,178 and 6,690 is: 7,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 6,690 = 6,690 : x
  2. Step 2: Convert to fraction form
    6,178/6,690 = 6,690/x
  3. Step 3: Cross multiply
    6,178x = 6,690 × 6,690
  4. Step 4: Simplify right side
    6,178x = 44,756,100
  5. Step 5: Solve for x
    x = 44,756,100/6,178
  6. Step 6: Final answer
    x = 7,244.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.