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Finding the Third Proportional to 4,704.75 and 7,289.16

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Solution

The third proportional to 4,704.75 and 7,289.16 is: 11,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.75 : 7,289.16 = 7,289.16 : x
  2. Step 2: Convert to fraction form
    4,704.75/7,289.16 = 7,289.16/x
  3. Step 3: Cross multiply
    4,704.75x = 7,289.16 × 7,289.16
  4. Step 4: Simplify right side
    4,704.75x = 53,131,798.84
  5. Step 5: Solve for x
    x = 53,131,798.84/4,704.75
  6. Step 6: Final answer
    x = 11,293.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.