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Finding the Third Proportional to 4,746.09 and 6,836.27

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Solution

The third proportional to 4,746.09 and 6,836.27 is: 9,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.09 : 6,836.27 = 6,836.27 : x
  2. Step 2: Convert to fraction form
    4,746.09/6,836.27 = 6,836.27/x
  3. Step 3: Cross multiply
    4,746.09x = 6,836.27 × 6,836.27
  4. Step 4: Simplify right side
    4,746.09x = 46,734,634.51
  5. Step 5: Solve for x
    x = 46,734,634.51/4,746.09
  6. Step 6: Final answer
    x = 9,846.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.