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Finding the Third Proportional to 12,722 and 25,789

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Solution

The third proportional to 12,722 and 25,789 is: 52,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 25,789 = 25,789 : x
  2. Step 2: Convert to fraction form
    12,722/25,789 = 25,789/x
  3. Step 3: Cross multiply
    12,722x = 25,789 × 25,789
  4. Step 4: Simplify right side
    12,722x = 665,072,521
  5. Step 5: Solve for x
    x = 665,072,521/12,722
  6. Step 6: Final answer
    x = 52,277.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.