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Finding the Third Proportional to 11,829.38 and 25,754.63

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Solution

The third proportional to 11,829.38 and 25,754.63 is: 56,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.38 : 25,754.63 = 25,754.63 : x
  2. Step 2: Convert to fraction form
    11,829.38/25,754.63 = 25,754.63/x
  3. Step 3: Cross multiply
    11,829.38x = 25,754.63 × 25,754.63
  4. Step 4: Simplify right side
    11,829.38x = 663,300,708.89
  5. Step 5: Solve for x
    x = 663,300,708.89/11,829.38
  6. Step 6: Final answer
    x = 56,072.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.