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Finding the Third Proportional to 7,442 and 17,621

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Solution

The third proportional to 7,442 and 17,621 is: 41,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442 : 17,621 = 17,621 : x
  2. Step 2: Convert to fraction form
    7,442/17,621 = 17,621/x
  3. Step 3: Cross multiply
    7,442x = 17,621 × 17,621
  4. Step 4: Simplify right side
    7,442x = 310,499,641
  5. Step 5: Solve for x
    x = 310,499,641/7,442
  6. Step 6: Final answer
    x = 41,722.61

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.