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Finding the Third Proportional to 2,994 and 7,853

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Solution

The third proportional to 2,994 and 7,853 is: 20,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 7,853 = 7,853 : x
  2. Step 2: Convert to fraction form
    2,994/7,853 = 7,853/x
  3. Step 3: Cross multiply
    2,994x = 7,853 × 7,853
  4. Step 4: Simplify right side
    2,994x = 61,669,609
  5. Step 5: Solve for x
    x = 61,669,609/2,994
  6. Step 6: Final answer
    x = 20,597.73

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.