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Finding the Third Proportional to 2,832.66 and 6,075.19

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Solution

The third proportional to 2,832.66 and 6,075.19 is: 13,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.66 : 6,075.19 = 6,075.19 : x
  2. Step 2: Convert to fraction form
    2,832.66/6,075.19 = 6,075.19/x
  3. Step 3: Cross multiply
    2,832.66x = 6,075.19 × 6,075.19
  4. Step 4: Simplify right side
    2,832.66x = 36,907,903.16
  5. Step 5: Solve for x
    x = 36,907,903.16/2,832.66
  6. Step 6: Final answer
    x = 13,029.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.