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Finding the Third Proportional to 18,467 and 40,319

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Solution

The third proportional to 18,467 and 40,319 is: 88,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467 : 40,319 = 40,319 : x
  2. Step 2: Convert to fraction form
    18,467/40,319 = 40,319/x
  3. Step 3: Cross multiply
    18,467x = 40,319 × 40,319
  4. Step 4: Simplify right side
    18,467x = 1,625,621,761
  5. Step 5: Solve for x
    x = 1,625,621,761/18,467
  6. Step 6: Final answer
    x = 88,028.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.