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Finding the Third Proportional to 20,593.50 and 42,157

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Solution

The third proportional to 20,593.50 and 42,157 is: 86,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.50 : 42,157 = 42,157 : x
  2. Step 2: Convert to fraction form
    20,593.50/42,157 = 42,157/x
  3. Step 3: Cross multiply
    20,593.50x = 42,157 × 42,157
  4. Step 4: Simplify right side
    20,593.50x = 1,777,212,649
  5. Step 5: Solve for x
    x = 1,777,212,649/20,593.50
  6. Step 6: Final answer
    x = 86,299.69

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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.