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Finding the Third Proportional to 27,120.75 and 58,392.75

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Solution

The third proportional to 27,120.75 and 58,392.75 is: 125,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.75 : 58,392.75 = 58,392.75 : x
  2. Step 2: Convert to fraction form
    27,120.75/58,392.75 = 58,392.75/x
  3. Step 3: Cross multiply
    27,120.75x = 58,392.75 × 58,392.75
  4. Step 4: Simplify right side
    27,120.75x = 3,409,713,252.56
  5. Step 5: Solve for x
    x = 3,409,713,252.56/27,120.75
  6. Step 6: Final answer
    x = 125,723.41

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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.