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Finding the Third Proportional to 26,500 and 42,918

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Solution

The third proportional to 26,500 and 42,918 is: 69,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500 : 42,918 = 42,918 : x
  2. Step 2: Convert to fraction form
    26,500/42,918 = 42,918/x
  3. Step 3: Cross multiply
    26,500x = 42,918 × 42,918
  4. Step 4: Simplify right side
    26,500x = 1,841,954,724
  5. Step 5: Solve for x
    x = 1,841,954,724/26,500
  6. Step 6: Final answer
    x = 69,507.73

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.