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Finding the Third Proportional to 28,238 and 42,406

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Solution

The third proportional to 28,238 and 42,406 is: 63,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238 : 42,406 = 42,406 : x
  2. Step 2: Convert to fraction form
    28,238/42,406 = 42,406/x
  3. Step 3: Cross multiply
    28,238x = 42,406 × 42,406
  4. Step 4: Simplify right side
    28,238x = 1,798,268,836
  5. Step 5: Solve for x
    x = 1,798,268,836/28,238
  6. Step 6: Final answer
    x = 63,682.59

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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.