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Finding the Third Proportional to 28,273 and 42,474

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Solution

The third proportional to 28,273 and 42,474 is: 63,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,273 : 42,474 = 42,474 : x
  2. Step 2: Convert to fraction form
    28,273/42,474 = 42,474/x
  3. Step 3: Cross multiply
    28,273x = 42,474 × 42,474
  4. Step 4: Simplify right side
    28,273x = 1,804,040,676
  5. Step 5: Solve for x
    x = 1,804,040,676/28,273
  6. Step 6: Final answer
    x = 63,807.90

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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.