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Finding the Third Proportional to 5,774 and 6,326

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Solution

The third proportional to 5,774 and 6,326 is: 6,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774 : 6,326 = 6,326 : x
  2. Step 2: Convert to fraction form
    5,774/6,326 = 6,326/x
  3. Step 3: Cross multiply
    5,774x = 6,326 × 6,326
  4. Step 4: Simplify right side
    5,774x = 40,018,276
  5. Step 5: Solve for x
    x = 40,018,276/5,774
  6. Step 6: Final answer
    x = 6,930.77

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Why These Related Problems?

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