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Finding the Third Proportional to 39,924 and 87,322

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Solution

The third proportional to 39,924 and 87,322 is: 190,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924 : 87,322 = 87,322 : x
  2. Step 2: Convert to fraction form
    39,924/87,322 = 87,322/x
  3. Step 3: Cross multiply
    39,924x = 87,322 × 87,322
  4. Step 4: Simplify right side
    39,924x = 7,625,131,684
  5. Step 5: Solve for x
    x = 7,625,131,684/39,924
  6. Step 6: Final answer
    x = 190,991.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.