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Finding the Third Proportional to 6,970 and 7,738

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Solution

The third proportional to 6,970 and 7,738 is: 8,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970 : 7,738 = 7,738 : x
  2. Step 2: Convert to fraction form
    6,970/7,738 = 7,738/x
  3. Step 3: Cross multiply
    6,970x = 7,738 × 7,738
  4. Step 4: Simplify right side
    6,970x = 59,876,644
  5. Step 5: Solve for x
    x = 59,876,644/6,970
  6. Step 6: Final answer
    x = 8,590.62

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.