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Finding the Third Proportional to 3,147.61 and 4,896.07

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Solution

The third proportional to 3,147.61 and 4,896.07 is: 7,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.61 : 4,896.07 = 4,896.07 : x
  2. Step 2: Convert to fraction form
    3,147.61/4,896.07 = 4,896.07/x
  3. Step 3: Cross multiply
    3,147.61x = 4,896.07 × 4,896.07
  4. Step 4: Simplify right side
    3,147.61x = 23,971,504.50
  5. Step 5: Solve for x
    x = 23,971,504.50/3,147.61
  6. Step 6: Final answer
    x = 7,615.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.