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Finding the Third Proportional to 11,606 and 12,710

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Solution

The third proportional to 11,606 and 12,710 is: 13,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606 : 12,710 = 12,710 : x
  2. Step 2: Convert to fraction form
    11,606/12,710 = 12,710/x
  3. Step 3: Cross multiply
    11,606x = 12,710 × 12,710
  4. Step 4: Simplify right side
    11,606x = 161,544,100
  5. Step 5: Solve for x
    x = 161,544,100/11,606
  6. Step 6: Final answer
    x = 13,919.02

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.