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Finding the Third Proportional to 27,242 and 58,655

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Solution

The third proportional to 27,242 and 58,655 is: 126,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 58,655 = 58,655 : x
  2. Step 2: Convert to fraction form
    27,242/58,655 = 58,655/x
  3. Step 3: Cross multiply
    27,242x = 58,655 × 58,655
  4. Step 4: Simplify right side
    27,242x = 3,440,409,025
  5. Step 5: Solve for x
    x = 3,440,409,025/27,242
  6. Step 6: Final answer
    x = 126,290.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.