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Finding the Third Proportional to 6,199 and 12,827

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Solution

The third proportional to 6,199 and 12,827 is: 26,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 12,827 = 12,827 : x
  2. Step 2: Convert to fraction form
    6,199/12,827 = 12,827/x
  3. Step 3: Cross multiply
    6,199x = 12,827 × 12,827
  4. Step 4: Simplify right side
    6,199x = 164,531,929
  5. Step 5: Solve for x
    x = 164,531,929/6,199
  6. Step 6: Final answer
    x = 26,541.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.