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Finding the Third Proportional to 4,843.64 and 6,855.64

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Solution

The third proportional to 4,843.64 and 6,855.64 is: 9,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.64 : 6,855.64 = 6,855.64 : x
  2. Step 2: Convert to fraction form
    4,843.64/6,855.64 = 6,855.64/x
  3. Step 3: Cross multiply
    4,843.64x = 6,855.64 × 6,855.64
  4. Step 4: Simplify right side
    4,843.64x = 46,999,741.43
  5. Step 5: Solve for x
    x = 46,999,741.43/4,843.64
  6. Step 6: Final answer
    x = 9,703.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.