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Finding the Third Proportional to 5,294 and 5,774

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Solution

The third proportional to 5,294 and 5,774 is: 6,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294 : 5,774 = 5,774 : x
  2. Step 2: Convert to fraction form
    5,294/5,774 = 5,774/x
  3. Step 3: Cross multiply
    5,294x = 5,774 × 5,774
  4. Step 4: Simplify right side
    5,294x = 33,339,076
  5. Step 5: Solve for x
    x = 33,339,076/5,294
  6. Step 6: Final answer
    x = 6,297.52

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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.