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Finding the Third Proportional to 26,754 and 35,790

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Solution

The third proportional to 26,754 and 35,790 is: 47,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754 : 35,790 = 35,790 : x
  2. Step 2: Convert to fraction form
    26,754/35,790 = 35,790/x
  3. Step 3: Cross multiply
    26,754x = 35,790 × 35,790
  4. Step 4: Simplify right side
    26,754x = 1,280,924,100
  5. Step 5: Solve for x
    x = 1,280,924,100/26,754
  6. Step 6: Final answer
    x = 47,877.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.