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Finding the Third Proportional to 28,474 and 42,578

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Solution

The third proportional to 28,474 and 42,578 is: 63,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,474 : 42,578 = 42,578 : x
  2. Step 2: Convert to fraction form
    28,474/42,578 = 42,578/x
  3. Step 3: Cross multiply
    28,474x = 42,578 × 42,578
  4. Step 4: Simplify right side
    28,474x = 1,812,886,084
  5. Step 5: Solve for x
    x = 1,812,886,084/28,474
  6. Step 6: Final answer
    x = 63,668.12

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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.