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Finding the Third Proportional to 2,803.36 and 6,102.21

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Solution

The third proportional to 2,803.36 and 6,102.21 is: 13,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.36 : 6,102.21 = 6,102.21 : x
  2. Step 2: Convert to fraction form
    2,803.36/6,102.21 = 6,102.21/x
  3. Step 3: Cross multiply
    2,803.36x = 6,102.21 × 6,102.21
  4. Step 4: Simplify right side
    2,803.36x = 37,236,978.33
  5. Step 5: Solve for x
    x = 37,236,978.33/2,803.36
  6. Step 6: Final answer
    x = 13,282.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.