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Finding the Third Proportional to 4,847.63 and 7,412.34

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Solution

The third proportional to 4,847.63 and 7,412.34 is: 11,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.63 : 7,412.34 = 7,412.34 : x
  2. Step 2: Convert to fraction form
    4,847.63/7,412.34 = 7,412.34/x
  3. Step 3: Cross multiply
    4,847.63x = 7,412.34 × 7,412.34
  4. Step 4: Simplify right side
    4,847.63x = 54,942,839.87
  5. Step 5: Solve for x
    x = 54,942,839.87/4,847.63
  6. Step 6: Final answer
    x = 11,333.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.