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Finding the Third Proportional to 13,230 and 27,823

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Solution

The third proportional to 13,230 and 27,823 is: 58,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230 : 27,823 = 27,823 : x
  2. Step 2: Convert to fraction form
    13,230/27,823 = 27,823/x
  3. Step 3: Cross multiply
    13,230x = 27,823 × 27,823
  4. Step 4: Simplify right side
    13,230x = 774,119,329
  5. Step 5: Solve for x
    x = 774,119,329/13,230
  6. Step 6: Final answer
    x = 58,512.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.