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Finding the Third Proportional to 4,579.03 and 5,200.03

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Solution

The third proportional to 4,579.03 and 5,200.03 is: 5,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.03 : 5,200.03 = 5,200.03 : x
  2. Step 2: Convert to fraction form
    4,579.03/5,200.03 = 5,200.03/x
  3. Step 3: Cross multiply
    4,579.03x = 5,200.03 × 5,200.03
  4. Step 4: Simplify right side
    4,579.03x = 27,040,325.00
  5. Step 5: Solve for x
    x = 27,040,325.00/4,579.03
  6. Step 6: Final answer
    x = 5,905.25

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.