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Finding the Third Proportional to 13,120 and 27,722

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Solution

The third proportional to 13,120 and 27,722 is: 58,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 27,722 = 27,722 : x
  2. Step 2: Convert to fraction form
    13,120/27,722 = 27,722/x
  3. Step 3: Cross multiply
    13,120x = 27,722 × 27,722
  4. Step 4: Simplify right side
    13,120x = 768,509,284
  5. Step 5: Solve for x
    x = 768,509,284/13,120
  6. Step 6: Final answer
    x = 58,575.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.