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Finding the Third Proportional to 2,851.03 and 6,236.16

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Solution

The third proportional to 2,851.03 and 6,236.16 is: 13,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.03 : 6,236.16 = 6,236.16 : x
  2. Step 2: Convert to fraction form
    2,851.03/6,236.16 = 6,236.16/x
  3. Step 3: Cross multiply
    2,851.03x = 6,236.16 × 6,236.16
  4. Step 4: Simplify right side
    2,851.03x = 38,889,644.77
  5. Step 5: Solve for x
    x = 38,889,644.77/2,851.03
  6. Step 6: Final answer
    x = 13,640.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.