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Finding the Third Proportional to 17,533.97 and 37,580.20

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Solution

The third proportional to 17,533.97 and 37,580.20 is: 80,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.97 : 37,580.20 = 37,580.20 : x
  2. Step 2: Convert to fraction form
    17,533.97/37,580.20 = 37,580.20/x
  3. Step 3: Cross multiply
    17,533.97x = 37,580.20 × 37,580.20
  4. Step 4: Simplify right side
    17,533.97x = 1,412,271,666.92
  5. Step 5: Solve for x
    x = 1,412,271,666.92/17,533.97
  6. Step 6: Final answer
    x = 80,544.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.