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Finding the Third Proportional to 20,059 and 43,397

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Solution

The third proportional to 20,059 and 43,397 is: 93,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059 : 43,397 = 43,397 : x
  2. Step 2: Convert to fraction form
    20,059/43,397 = 43,397/x
  3. Step 3: Cross multiply
    20,059x = 43,397 × 43,397
  4. Step 4: Simplify right side
    20,059x = 1,883,299,609
  5. Step 5: Solve for x
    x = 1,883,299,609/20,059
  6. Step 6: Final answer
    x = 93,888.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.