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Finding the Third Proportional to 10,000 and 13,568

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Solution

The third proportional to 10,000 and 13,568 is: 18,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000 : 13,568 = 13,568 : x
  2. Step 2: Convert to fraction form
    10,000/13,568 = 13,568/x
  3. Step 3: Cross multiply
    10,000x = 13,568 × 13,568
  4. Step 4: Simplify right side
    10,000x = 184,090,624
  5. Step 5: Solve for x
    x = 184,090,624/10,000
  6. Step 6: Final answer
    x = 18,409.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.