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Finding the Third Proportional to 27,896 and 58,664

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Solution

The third proportional to 27,896 and 58,664 is: 123,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896 : 58,664 = 58,664 : x
  2. Step 2: Convert to fraction form
    27,896/58,664 = 58,664/x
  3. Step 3: Cross multiply
    27,896x = 58,664 × 58,664
  4. Step 4: Simplify right side
    27,896x = 3,441,464,896
  5. Step 5: Solve for x
    x = 3,441,464,896/27,896
  6. Step 6: Final answer
    x = 123,367.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.