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Finding the Third Proportional to 20,643 and 42,375

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Solution

The third proportional to 20,643 and 42,375 is: 86,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643 : 42,375 = 42,375 : x
  2. Step 2: Convert to fraction form
    20,643/42,375 = 42,375/x
  3. Step 3: Cross multiply
    20,643x = 42,375 × 42,375
  4. Step 4: Simplify right side
    20,643x = 1,795,640,625
  5. Step 5: Solve for x
    x = 1,795,640,625/20,643
  6. Step 6: Final answer
    x = 86,985.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.