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Finding the Third Proportional to 17,664.75 and 23,675.63

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Solution

The third proportional to 17,664.75 and 23,675.63 is: 31,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.75 : 23,675.63 = 23,675.63 : x
  2. Step 2: Convert to fraction form
    17,664.75/23,675.63 = 23,675.63/x
  3. Step 3: Cross multiply
    17,664.75x = 23,675.63 × 23,675.63
  4. Step 4: Simplify right side
    17,664.75x = 560,535,219.14
  5. Step 5: Solve for x
    x = 560,535,219.14/17,664.75
  6. Step 6: Final answer
    x = 31,731.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.