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Finding the Third Proportional to 6,824 and 14,862

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Solution

The third proportional to 6,824 and 14,862 is: 32,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824 : 14,862 = 14,862 : x
  2. Step 2: Convert to fraction form
    6,824/14,862 = 14,862/x
  3. Step 3: Cross multiply
    6,824x = 14,862 × 14,862
  4. Step 4: Simplify right side
    6,824x = 220,879,044
  5. Step 5: Solve for x
    x = 220,879,044/6,824
  6. Step 6: Final answer
    x = 32,367.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.