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Finding the Third Proportional to 27,302 and 41,742

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Solution

The third proportional to 27,302 and 41,742 is: 63,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302 : 41,742 = 41,742 : x
  2. Step 2: Convert to fraction form
    27,302/41,742 = 41,742/x
  3. Step 3: Cross multiply
    27,302x = 41,742 × 41,742
  4. Step 4: Simplify right side
    27,302x = 1,742,394,564
  5. Step 5: Solve for x
    x = 1,742,394,564/27,302
  6. Step 6: Final answer
    x = 63,819.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.