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Finding the Third Proportional to 2,998 and 4,741

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Solution

The third proportional to 2,998 and 4,741 is: 7,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 4,741 = 4,741 : x
  2. Step 2: Convert to fraction form
    2,998/4,741 = 4,741/x
  3. Step 3: Cross multiply
    2,998x = 4,741 × 4,741
  4. Step 4: Simplify right side
    2,998x = 22,477,081
  5. Step 5: Solve for x
    x = 22,477,081/2,998
  6. Step 6: Final answer
    x = 7,497.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.