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Finding the Third Proportional to 12,764.25 and 26,174.25

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Solution

The third proportional to 12,764.25 and 26,174.25 is: 53,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.25 : 26,174.25 = 26,174.25 : x
  2. Step 2: Convert to fraction form
    12,764.25/26,174.25 = 26,174.25/x
  3. Step 3: Cross multiply
    12,764.25x = 26,174.25 × 26,174.25
  4. Step 4: Simplify right side
    12,764.25x = 685,091,363.06
  5. Step 5: Solve for x
    x = 685,091,363.06/12,764.25
  6. Step 6: Final answer
    x = 53,672.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.