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Finding the Third Proportional to 2,994.94 and 6,498.94

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Solution

The third proportional to 2,994.94 and 6,498.94 is: 14,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.94 : 6,498.94 = 6,498.94 : x
  2. Step 2: Convert to fraction form
    2,994.94/6,498.94 = 6,498.94/x
  3. Step 3: Cross multiply
    2,994.94x = 6,498.94 × 6,498.94
  4. Step 4: Simplify right side
    2,994.94x = 42,236,188.63
  5. Step 5: Solve for x
    x = 42,236,188.63/2,994.94
  6. Step 6: Final answer
    x = 14,102.53

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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.