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Finding the Third Proportional to 28,996 and 67,748

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Solution

The third proportional to 28,996 and 67,748 is: 158,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,996 : 67,748 = 67,748 : x
  2. Step 2: Convert to fraction form
    28,996/67,748 = 67,748/x
  3. Step 3: Cross multiply
    28,996x = 67,748 × 67,748
  4. Step 4: Simplify right side
    28,996x = 4,589,791,504
  5. Step 5: Solve for x
    x = 4,589,791,504/28,996
  6. Step 6: Final answer
    x = 158,290.51

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.