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Finding the Third Proportional to 12,964 and 26,762

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Solution

The third proportional to 12,964 and 26,762 is: 55,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 26,762 = 26,762 : x
  2. Step 2: Convert to fraction form
    12,964/26,762 = 26,762/x
  3. Step 3: Cross multiply
    12,964x = 26,762 × 26,762
  4. Step 4: Simplify right side
    12,964x = 716,204,644
  5. Step 5: Solve for x
    x = 716,204,644/12,964
  6. Step 6: Final answer
    x = 55,245.65

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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.