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Finding the Third Proportional to 5,442 and 13,083

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Solution

The third proportional to 5,442 and 13,083 is: 31,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442 : 13,083 = 13,083 : x
  2. Step 2: Convert to fraction form
    5,442/13,083 = 13,083/x
  3. Step 3: Cross multiply
    5,442x = 13,083 × 13,083
  4. Step 4: Simplify right side
    5,442x = 171,164,889
  5. Step 5: Solve for x
    x = 171,164,889/5,442
  6. Step 6: Final answer
    x = 31,452.57

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.