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Finding the Third Proportional to 2,919.94 and 6,335.44

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Solution

The third proportional to 2,919.94 and 6,335.44 is: 13,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.94 : 6,335.44 = 6,335.44 : x
  2. Step 2: Convert to fraction form
    2,919.94/6,335.44 = 6,335.44/x
  3. Step 3: Cross multiply
    2,919.94x = 6,335.44 × 6,335.44
  4. Step 4: Simplify right side
    2,919.94x = 40,137,768.32
  5. Step 5: Solve for x
    x = 40,137,768.32/2,919.94
  6. Step 6: Final answer
    x = 13,746.11

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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.