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Finding the Third Proportional to 4,217.06 and 4,986.56

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Solution

The third proportional to 4,217.06 and 4,986.56 is: 5,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.06 : 4,986.56 = 4,986.56 : x
  2. Step 2: Convert to fraction form
    4,217.06/4,986.56 = 4,986.56/x
  3. Step 3: Cross multiply
    4,217.06x = 4,986.56 × 4,986.56
  4. Step 4: Simplify right side
    4,217.06x = 24,865,805.57
  5. Step 5: Solve for x
    x = 24,865,805.57/4,217.06
  6. Step 6: Final answer
    x = 5,896.48

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.