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Finding the Third Proportional to 17,548 and 37,905.50

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Solution

The third proportional to 17,548 and 37,905.50 is: 81,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548 : 37,905.50 = 37,905.50 : x
  2. Step 2: Convert to fraction form
    17,548/37,905.50 = 37,905.50/x
  3. Step 3: Cross multiply
    17,548x = 37,905.50 × 37,905.50
  4. Step 4: Simplify right side
    17,548x = 1,436,826,930.25
  5. Step 5: Solve for x
    x = 1,436,826,930.25/17,548
  6. Step 6: Final answer
    x = 81,879.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.