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Finding the Third Proportional to 27,288 and 58,896

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Solution

The third proportional to 27,288 and 58,896 is: 127,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288 : 58,896 = 58,896 : x
  2. Step 2: Convert to fraction form
    27,288/58,896 = 58,896/x
  3. Step 3: Cross multiply
    27,288x = 58,896 × 58,896
  4. Step 4: Simplify right side
    27,288x = 3,468,738,816
  5. Step 5: Solve for x
    x = 3,468,738,816/27,288
  6. Step 6: Final answer
    x = 127,115.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.