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Finding the Third Proportional to 27,048 and 58,660.50

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Solution

The third proportional to 27,048 and 58,660.50 is: 127,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 58,660.50 = 58,660.50 : x
  2. Step 2: Convert to fraction form
    27,048/58,660.50 = 58,660.50/x
  3. Step 3: Cross multiply
    27,048x = 58,660.50 × 58,660.50
  4. Step 4: Simplify right side
    27,048x = 3,441,054,260.25
  5. Step 5: Solve for x
    x = 3,441,054,260.25/27,048
  6. Step 6: Final answer
    x = 127,220.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.