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Finding the Third Proportional to 2,147.34 and 4,683.66

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Solution

The third proportional to 2,147.34 and 4,683.66 is: 10,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.34 : 4,683.66 = 4,683.66 : x
  2. Step 2: Convert to fraction form
    2,147.34/4,683.66 = 4,683.66/x
  3. Step 3: Cross multiply
    2,147.34x = 4,683.66 × 4,683.66
  4. Step 4: Simplify right side
    2,147.34x = 21,936,635.87
  5. Step 5: Solve for x
    x = 21,936,635.87/2,147.34
  6. Step 6: Final answer
    x = 10,215.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.