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Finding the Third Proportional to 27,409 and 58,705

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Solution

The third proportional to 27,409 and 58,705 is: 125,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409 : 58,705 = 58,705 : x
  2. Step 2: Convert to fraction form
    27,409/58,705 = 58,705/x
  3. Step 3: Cross multiply
    27,409x = 58,705 × 58,705
  4. Step 4: Simplify right side
    27,409x = 3,446,277,025
  5. Step 5: Solve for x
    x = 3,446,277,025/27,409
  6. Step 6: Final answer
    x = 125,735.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.