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Finding the Third Proportional to 17,880 and 39,322

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Solution

The third proportional to 17,880 and 39,322 is: 86,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880 : 39,322 = 39,322 : x
  2. Step 2: Convert to fraction form
    17,880/39,322 = 39,322/x
  3. Step 3: Cross multiply
    17,880x = 39,322 × 39,322
  4. Step 4: Simplify right side
    17,880x = 1,546,219,684
  5. Step 5: Solve for x
    x = 1,546,219,684/17,880
  6. Step 6: Final answer
    x = 86,477.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.