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Finding the Third Proportional to 6,846 and 9,684

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Solution

The third proportional to 6,846 and 9,684 is: 13,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 9,684 = 9,684 : x
  2. Step 2: Convert to fraction form
    6,846/9,684 = 9,684/x
  3. Step 3: Cross multiply
    6,846x = 9,684 × 9,684
  4. Step 4: Simplify right side
    6,846x = 93,779,856
  5. Step 5: Solve for x
    x = 93,779,856/6,846
  6. Step 6: Final answer
    x = 13,698.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.