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Finding the Third Proportional to 4,745.62 and 7,304.24

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Solution

The third proportional to 4,745.62 and 7,304.24 is: 11,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.62 : 7,304.24 = 7,304.24 : x
  2. Step 2: Convert to fraction form
    4,745.62/7,304.24 = 7,304.24/x
  3. Step 3: Cross multiply
    4,745.62x = 7,304.24 × 7,304.24
  4. Step 4: Simplify right side
    4,745.62x = 53,351,896.87
  5. Step 5: Solve for x
    x = 53,351,896.87/4,745.62
  6. Step 6: Final answer
    x = 11,242.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.