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Finding the Third Proportional to 3,559.36 and 5,202.14

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Solution

The third proportional to 3,559.36 and 5,202.14 is: 7,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.36 : 5,202.14 = 5,202.14 : x
  2. Step 2: Convert to fraction form
    3,559.36/5,202.14 = 5,202.14/x
  3. Step 3: Cross multiply
    3,559.36x = 5,202.14 × 5,202.14
  4. Step 4: Simplify right side
    3,559.36x = 27,062,267.08
  5. Step 5: Solve for x
    x = 27,062,267.08/3,559.36
  6. Step 6: Final answer
    x = 7,603.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.