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Finding the Third Proportional to 12,965 and 26,764

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Solution

The third proportional to 12,965 and 26,764 is: 55,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965 : 26,764 = 26,764 : x
  2. Step 2: Convert to fraction form
    12,965/26,764 = 26,764/x
  3. Step 3: Cross multiply
    12,965x = 26,764 × 26,764
  4. Step 4: Simplify right side
    12,965x = 716,311,696
  5. Step 5: Solve for x
    x = 716,311,696/12,965
  6. Step 6: Final answer
    x = 55,249.65

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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.