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Finding the Third Proportional to 26,412.75 and 35,974.13

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Solution

The third proportional to 26,412.75 and 35,974.13 is: 48,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,412.75 : 35,974.13 = 35,974.13 : x
  2. Step 2: Convert to fraction form
    26,412.75/35,974.13 = 35,974.13/x
  3. Step 3: Cross multiply
    26,412.75x = 35,974.13 × 35,974.13
  4. Step 4: Simplify right side
    26,412.75x = 1,294,137,669.52
  5. Step 5: Solve for x
    x = 1,294,137,669.52/26,412.75
  6. Step 6: Final answer
    x = 48,996.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.