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Finding the Third Proportional to 26,788 and 42,450

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Solution

The third proportional to 26,788 and 42,450 is: 67,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,788 : 42,450 = 42,450 : x
  2. Step 2: Convert to fraction form
    26,788/42,450 = 42,450/x
  3. Step 3: Cross multiply
    26,788x = 42,450 × 42,450
  4. Step 4: Simplify right side
    26,788x = 1,802,002,500
  5. Step 5: Solve for x
    x = 1,802,002,500/26,788
  6. Step 6: Final answer
    x = 67,269.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.