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Finding the Third Proportional to 17,546.63 and 37,563.75

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Solution

The third proportional to 17,546.63 and 37,563.75 is: 80,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.63 : 37,563.75 = 37,563.75 : x
  2. Step 2: Convert to fraction form
    17,546.63/37,563.75 = 37,563.75/x
  3. Step 3: Cross multiply
    17,546.63x = 37,563.75 × 37,563.75
  4. Step 4: Simplify right side
    17,546.63x = 1,411,035,314.06
  5. Step 5: Solve for x
    x = 1,411,035,314.06/17,546.63
  6. Step 6: Final answer
    x = 80,416.34

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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.