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Finding the Third Proportional to 4,610 and 6,819

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Solution

The third proportional to 4,610 and 6,819 is: 10,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610 : 6,819 = 6,819 : x
  2. Step 2: Convert to fraction form
    4,610/6,819 = 6,819/x
  3. Step 3: Cross multiply
    4,610x = 6,819 × 6,819
  4. Step 4: Simplify right side
    4,610x = 46,498,761
  5. Step 5: Solve for x
    x = 46,498,761/4,610
  6. Step 6: Final answer
    x = 10,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.