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Finding the Third Proportional to 2,635.03 and 5,548.50

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Solution

The third proportional to 2,635.03 and 5,548.50 is: 11,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.03 : 5,548.50 = 5,548.50 : x
  2. Step 2: Convert to fraction form
    2,635.03/5,548.50 = 5,548.50/x
  3. Step 3: Cross multiply
    2,635.03x = 5,548.50 × 5,548.50
  4. Step 4: Simplify right side
    2,635.03x = 30,785,852.25
  5. Step 5: Solve for x
    x = 30,785,852.25/2,635.03
  6. Step 6: Final answer
    x = 11,683.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.