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Finding the Third Proportional to 17,364 and 25,722

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Solution

The third proportional to 17,364 and 25,722 is: 38,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 25,722 = 25,722 : x
  2. Step 2: Convert to fraction form
    17,364/25,722 = 25,722/x
  3. Step 3: Cross multiply
    17,364x = 25,722 × 25,722
  4. Step 4: Simplify right side
    17,364x = 661,621,284
  5. Step 5: Solve for x
    x = 661,621,284/17,364
  6. Step 6: Final answer
    x = 38,103.05

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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.