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Finding the Third Proportional to 2,786.06 and 4,482.84

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Solution

The third proportional to 2,786.06 and 4,482.84 is: 7,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.06 : 4,482.84 = 4,482.84 : x
  2. Step 2: Convert to fraction form
    2,786.06/4,482.84 = 4,482.84/x
  3. Step 3: Cross multiply
    2,786.06x = 4,482.84 × 4,482.84
  4. Step 4: Simplify right side
    2,786.06x = 20,095,888.09
  5. Step 5: Solve for x
    x = 20,095,888.09/2,786.06
  6. Step 6: Final answer
    x = 7,213.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.