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Finding the Third Proportional to 6,410 and 13,467

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Solution

The third proportional to 6,410 and 13,467 is: 28,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 13,467 = 13,467 : x
  2. Step 2: Convert to fraction form
    6,410/13,467 = 13,467/x
  3. Step 3: Cross multiply
    6,410x = 13,467 × 13,467
  4. Step 4: Simplify right side
    6,410x = 181,360,089
  5. Step 5: Solve for x
    x = 181,360,089/6,410
  6. Step 6: Final answer
    x = 28,293.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.