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Finding the Third Proportional to 17,664.75 and 37,749.38

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Solution

The third proportional to 17,664.75 and 37,749.38 is: 80,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.75 : 37,749.38 = 37,749.38 : x
  2. Step 2: Convert to fraction form
    17,664.75/37,749.38 = 37,749.38/x
  3. Step 3: Cross multiply
    17,664.75x = 37,749.38 × 37,749.38
  4. Step 4: Simplify right side
    17,664.75x = 1,425,015,312.89
  5. Step 5: Solve for x
    x = 1,425,015,312.89/17,664.75
  6. Step 6: Final answer
    x = 80,670.00

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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.