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Finding the Third Proportional to 5,385 and 10,761

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Solution

The third proportional to 5,385 and 10,761 is: 21,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385 : 10,761 = 10,761 : x
  2. Step 2: Convert to fraction form
    5,385/10,761 = 10,761/x
  3. Step 3: Cross multiply
    5,385x = 10,761 × 10,761
  4. Step 4: Simplify right side
    5,385x = 115,799,121
  5. Step 5: Solve for x
    x = 115,799,121/5,385
  6. Step 6: Final answer
    x = 21,504.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.