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Finding the Third Proportional to 13,022 and 27,769

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Solution

The third proportional to 13,022 and 27,769 is: 59,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022 : 27,769 = 27,769 : x
  2. Step 2: Convert to fraction form
    13,022/27,769 = 27,769/x
  3. Step 3: Cross multiply
    13,022x = 27,769 × 27,769
  4. Step 4: Simplify right side
    13,022x = 771,117,361
  5. Step 5: Solve for x
    x = 771,117,361/13,022
  6. Step 6: Final answer
    x = 59,216.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.