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Finding the Third Proportional to 28,231 and 42,395

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Solution

The third proportional to 28,231 and 42,395 is: 63,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231 : 42,395 = 42,395 : x
  2. Step 2: Convert to fraction form
    28,231/42,395 = 42,395/x
  3. Step 3: Cross multiply
    28,231x = 42,395 × 42,395
  4. Step 4: Simplify right side
    28,231x = 1,797,336,025
  5. Step 5: Solve for x
    x = 1,797,336,025/28,231
  6. Step 6: Final answer
    x = 63,665.33

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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.