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Finding the Third Proportional to 20,385 and 32,219

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Solution

The third proportional to 20,385 and 32,219 is: 50,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 32,219 = 32,219 : x
  2. Step 2: Convert to fraction form
    20,385/32,219 = 32,219/x
  3. Step 3: Cross multiply
    20,385x = 32,219 × 32,219
  4. Step 4: Simplify right side
    20,385x = 1,038,063,961
  5. Step 5: Solve for x
    x = 1,038,063,961/20,385
  6. Step 6: Final answer
    x = 50,922.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.