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Finding the Third Proportional to 11,960 and 25,072

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Solution

The third proportional to 11,960 and 25,072 is: 52,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960 : 25,072 = 25,072 : x
  2. Step 2: Convert to fraction form
    11,960/25,072 = 25,072/x
  3. Step 3: Cross multiply
    11,960x = 25,072 × 25,072
  4. Step 4: Simplify right side
    11,960x = 628,605,184
  5. Step 5: Solve for x
    x = 628,605,184/11,960
  6. Step 6: Final answer
    x = 52,558.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.