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Finding the Third Proportional to 12,073 and 25,055

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Solution

The third proportional to 12,073 and 25,055 is: 51,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073 : 25,055 = 25,055 : x
  2. Step 2: Convert to fraction form
    12,073/25,055 = 25,055/x
  3. Step 3: Cross multiply
    12,073x = 25,055 × 25,055
  4. Step 4: Simplify right side
    12,073x = 627,753,025
  5. Step 5: Solve for x
    x = 627,753,025/12,073
  6. Step 6: Final answer
    x = 51,996.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.