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Finding the Third Proportional to 28,192 and 42,201

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Solution

The third proportional to 28,192 and 42,201 is: 63,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,192 : 42,201 = 42,201 : x
  2. Step 2: Convert to fraction form
    28,192/42,201 = 42,201/x
  3. Step 3: Cross multiply
    28,192x = 42,201 × 42,201
  4. Step 4: Simplify right side
    28,192x = 1,780,924,401
  5. Step 5: Solve for x
    x = 1,780,924,401/28,192
  6. Step 6: Final answer
    x = 63,171.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.