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Finding the Third Proportional to 12,052 and 24,873

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Solution

The third proportional to 12,052 and 24,873 is: 51,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052 : 24,873 = 24,873 : x
  2. Step 2: Convert to fraction form
    12,052/24,873 = 24,873/x
  3. Step 3: Cross multiply
    12,052x = 24,873 × 24,873
  4. Step 4: Simplify right side
    12,052x = 618,666,129
  5. Step 5: Solve for x
    x = 618,666,129/12,052
  6. Step 6: Final answer
    x = 51,333.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.