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Finding the Third Proportional to 13,063 and 26,821

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Solution

The third proportional to 13,063 and 26,821 is: 55,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063 : 26,821 = 26,821 : x
  2. Step 2: Convert to fraction form
    13,063/26,821 = 26,821/x
  3. Step 3: Cross multiply
    13,063x = 26,821 × 26,821
  4. Step 4: Simplify right side
    13,063x = 719,366,041
  5. Step 5: Solve for x
    x = 719,366,041/13,063
  6. Step 6: Final answer
    x = 55,068.98

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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.