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Finding the Third Proportional to 20,163 and 32,032

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Solution

The third proportional to 20,163 and 32,032 is: 50,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163 : 32,032 = 32,032 : x
  2. Step 2: Convert to fraction form
    20,163/32,032 = 32,032/x
  3. Step 3: Cross multiply
    20,163x = 32,032 × 32,032
  4. Step 4: Simplify right side
    20,163x = 1,026,049,024
  5. Step 5: Solve for x
    x = 1,026,049,024/20,163
  6. Step 6: Final answer
    x = 50,887.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.