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Finding the Third Proportional to 27,462 and 41,190

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Solution

The third proportional to 27,462 and 41,190 is: 61,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462 : 41,190 = 41,190 : x
  2. Step 2: Convert to fraction form
    27,462/41,190 = 41,190/x
  3. Step 3: Cross multiply
    27,462x = 41,190 × 41,190
  4. Step 4: Simplify right side
    27,462x = 1,696,616,100
  5. Step 5: Solve for x
    x = 1,696,616,100/27,462
  6. Step 6: Final answer
    x = 61,780.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.