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Finding the Third Proportional to 2,832.63 and 6,120.13

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Solution

The third proportional to 2,832.63 and 6,120.13 is: 13,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.63 : 6,120.13 = 6,120.13 : x
  2. Step 2: Convert to fraction form
    2,832.63/6,120.13 = 6,120.13/x
  3. Step 3: Cross multiply
    2,832.63x = 6,120.13 × 6,120.13
  4. Step 4: Simplify right side
    2,832.63x = 37,455,930.02
  5. Step 5: Solve for x
    x = 37,455,930.02/2,832.63
  6. Step 6: Final answer
    x = 13,223.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.