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Finding the Third Proportional to 13,421 and 27,202

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Solution

The third proportional to 13,421 and 27,202 is: 55,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421 : 27,202 = 27,202 : x
  2. Step 2: Convert to fraction form
    13,421/27,202 = 27,202/x
  3. Step 3: Cross multiply
    13,421x = 27,202 × 27,202
  4. Step 4: Simplify right side
    13,421x = 739,948,804
  5. Step 5: Solve for x
    x = 739,948,804/13,421
  6. Step 6: Final answer
    x = 55,133.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.