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Finding the Third Proportional to 2,984.77 and 6,214.64

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Solution

The third proportional to 2,984.77 and 6,214.64 is: 12,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.77 : 6,214.64 = 6,214.64 : x
  2. Step 2: Convert to fraction form
    2,984.77/6,214.64 = 6,214.64/x
  3. Step 3: Cross multiply
    2,984.77x = 6,214.64 × 6,214.64
  4. Step 4: Simplify right side
    2,984.77x = 38,621,758.10
  5. Step 5: Solve for x
    x = 38,621,758.10/2,984.77
  6. Step 6: Final answer
    x = 12,939.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.