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Finding the Third Proportional to 6,914 and 7,778

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Solution

The third proportional to 6,914 and 7,778 is: 8,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 7,778 = 7,778 : x
  2. Step 2: Convert to fraction form
    6,914/7,778 = 7,778/x
  3. Step 3: Cross multiply
    6,914x = 7,778 × 7,778
  4. Step 4: Simplify right side
    6,914x = 60,497,284
  5. Step 5: Solve for x
    x = 60,497,284/6,914
  6. Step 6: Final answer
    x = 8,749.97

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.