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Finding the Third Proportional to 6,807 and 10,411

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Solution

The third proportional to 6,807 and 10,411 is: 15,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807 : 10,411 = 10,411 : x
  2. Step 2: Convert to fraction form
    6,807/10,411 = 10,411/x
  3. Step 3: Cross multiply
    6,807x = 10,411 × 10,411
  4. Step 4: Simplify right side
    6,807x = 108,388,921
  5. Step 5: Solve for x
    x = 108,388,921/6,807
  6. Step 6: Final answer
    x = 15,923.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.