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Finding the Third Proportional to 27,200 and 40,296

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Solution

The third proportional to 27,200 and 40,296 is: 59,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200 : 40,296 = 40,296 : x
  2. Step 2: Convert to fraction form
    27,200/40,296 = 40,296/x
  3. Step 3: Cross multiply
    27,200x = 40,296 × 40,296
  4. Step 4: Simplify right side
    27,200x = 1,623,767,616
  5. Step 5: Solve for x
    x = 1,623,767,616/27,200
  6. Step 6: Final answer
    x = 59,697.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.