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Finding the Third Proportional to 4,212 and 6,493

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Solution

The third proportional to 4,212 and 6,493 is: 10,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 6,493 = 6,493 : x
  2. Step 2: Convert to fraction form
    4,212/6,493 = 6,493/x
  3. Step 3: Cross multiply
    4,212x = 6,493 × 6,493
  4. Step 4: Simplify right side
    4,212x = 42,159,049
  5. Step 5: Solve for x
    x = 42,159,049/4,212
  6. Step 6: Final answer
    x = 10,009.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.