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Finding the Third Proportional to 6,191 and 8,047

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Solution

The third proportional to 6,191 and 8,047 is: 10,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191 : 8,047 = 8,047 : x
  2. Step 2: Convert to fraction form
    6,191/8,047 = 8,047/x
  3. Step 3: Cross multiply
    6,191x = 8,047 × 8,047
  4. Step 4: Simplify right side
    6,191x = 64,754,209
  5. Step 5: Solve for x
    x = 64,754,209/6,191
  6. Step 6: Final answer
    x = 10,459.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.