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Finding the Third Proportional to 6,171 and 14,811

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Solution

The third proportional to 6,171 and 14,811 is: 35,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171 : 14,811 = 14,811 : x
  2. Step 2: Convert to fraction form
    6,171/14,811 = 14,811/x
  3. Step 3: Cross multiply
    6,171x = 14,811 × 14,811
  4. Step 4: Simplify right side
    6,171x = 219,365,721
  5. Step 5: Solve for x
    x = 219,365,721/6,171
  6. Step 6: Final answer
    x = 35,547.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.