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Finding the Third Proportional to 28,314 and 42,542

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Solution

The third proportional to 28,314 and 42,542 is: 63,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 42,542 = 42,542 : x
  2. Step 2: Convert to fraction form
    28,314/42,542 = 42,542/x
  3. Step 3: Cross multiply
    28,314x = 42,542 × 42,542
  4. Step 4: Simplify right side
    28,314x = 1,809,821,764
  5. Step 5: Solve for x
    x = 1,809,821,764/28,314
  6. Step 6: Final answer
    x = 63,919.68

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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.