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Finding the Third Proportional to 20,594 and 33,159

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Solution

The third proportional to 20,594 and 33,159 is: 53,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594 : 33,159 = 33,159 : x
  2. Step 2: Convert to fraction form
    20,594/33,159 = 33,159/x
  3. Step 3: Cross multiply
    20,594x = 33,159 × 33,159
  4. Step 4: Simplify right side
    20,594x = 1,099,519,281
  5. Step 5: Solve for x
    x = 1,099,519,281/20,594
  6. Step 6: Final answer
    x = 53,390.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.