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Finding the Third Proportional to 20,412 and 43,275

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Solution

The third proportional to 20,412 and 43,275 is: 91,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412 : 43,275 = 43,275 : x
  2. Step 2: Convert to fraction form
    20,412/43,275 = 43,275/x
  3. Step 3: Cross multiply
    20,412x = 43,275 × 43,275
  4. Step 4: Simplify right side
    20,412x = 1,872,725,625
  5. Step 5: Solve for x
    x = 1,872,725,625/20,412
  6. Step 6: Final answer
    x = 91,746.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.