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Finding the Third Proportional to 2,994 and 6,480

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Solution

The third proportional to 2,994 and 6,480 is: 14,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 6,480 = 6,480 : x
  2. Step 2: Convert to fraction form
    2,994/6,480 = 6,480/x
  3. Step 3: Cross multiply
    2,994x = 6,480 × 6,480
  4. Step 4: Simplify right side
    2,994x = 41,990,400
  5. Step 5: Solve for x
    x = 41,990,400/2,994
  6. Step 6: Final answer
    x = 14,024.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.