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Finding the Third Proportional to 5,683.22 and 12,270.94

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Solution

The third proportional to 5,683.22 and 12,270.94 is: 26,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.22 : 12,270.94 = 12,270.94 : x
  2. Step 2: Convert to fraction form
    5,683.22/12,270.94 = 12,270.94/x
  3. Step 3: Cross multiply
    5,683.22x = 12,270.94 × 12,270.94
  4. Step 4: Simplify right side
    5,683.22x = 150,575,907.13
  5. Step 5: Solve for x
    x = 150,575,907.13/5,683.22
  6. Step 6: Final answer
    x = 26,494.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.