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Finding the Third Proportional to 5,596 and 6,844

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Solution

The third proportional to 5,596 and 6,844 is: 8,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596 : 6,844 = 6,844 : x
  2. Step 2: Convert to fraction form
    5,596/6,844 = 6,844/x
  3. Step 3: Cross multiply
    5,596x = 6,844 × 6,844
  4. Step 4: Simplify right side
    5,596x = 46,840,336
  5. Step 5: Solve for x
    x = 46,840,336/5,596
  6. Step 6: Final answer
    x = 8,370.32

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.