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Finding the Third Proportional to 2,302 and 4,994

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Solution

The third proportional to 2,302 and 4,994 is: 10,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302 : 4,994 = 4,994 : x
  2. Step 2: Convert to fraction form
    2,302/4,994 = 4,994/x
  3. Step 3: Cross multiply
    2,302x = 4,994 × 4,994
  4. Step 4: Simplify right side
    2,302x = 24,940,036
  5. Step 5: Solve for x
    x = 24,940,036/2,302
  6. Step 6: Final answer
    x = 10,834.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.