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Finding the Third Proportional to 6,871 and 12,086

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Solution

The third proportional to 6,871 and 12,086 is: 21,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 12,086 = 12,086 : x
  2. Step 2: Convert to fraction form
    6,871/12,086 = 12,086/x
  3. Step 3: Cross multiply
    6,871x = 12,086 × 12,086
  4. Step 4: Simplify right side
    6,871x = 146,071,396
  5. Step 5: Solve for x
    x = 146,071,396/6,871
  6. Step 6: Final answer
    x = 21,259.12

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.