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Finding the Third Proportional to 6,838 and 14,723

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Solution

The third proportional to 6,838 and 14,723 is: 31,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838 : 14,723 = 14,723 : x
  2. Step 2: Convert to fraction form
    6,838/14,723 = 14,723/x
  3. Step 3: Cross multiply
    6,838x = 14,723 × 14,723
  4. Step 4: Simplify right side
    6,838x = 216,766,729
  5. Step 5: Solve for x
    x = 216,766,729/6,838
  6. Step 6: Final answer
    x = 31,700.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.