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Finding the Third Proportional to 6,474 and 11,210

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Solution

The third proportional to 6,474 and 11,210 is: 19,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 11,210 = 11,210 : x
  2. Step 2: Convert to fraction form
    6,474/11,210 = 11,210/x
  3. Step 3: Cross multiply
    6,474x = 11,210 × 11,210
  4. Step 4: Simplify right side
    6,474x = 125,664,100
  5. Step 5: Solve for x
    x = 125,664,100/6,474
  6. Step 6: Final answer
    x = 19,410.58

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.