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Finding the Third Proportional to 27,388 and 58,927.25

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Solution

The third proportional to 27,388 and 58,927.25 is: 126,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388 : 58,927.25 = 58,927.25 : x
  2. Step 2: Convert to fraction form
    27,388/58,927.25 = 58,927.25/x
  3. Step 3: Cross multiply
    27,388x = 58,927.25 × 58,927.25
  4. Step 4: Simplify right side
    27,388x = 3,472,420,792.56
  5. Step 5: Solve for x
    x = 3,472,420,792.56/27,388
  6. Step 6: Final answer
    x = 126,786.21

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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.