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Finding the Third Proportional to 27,816 and 60,904

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Solution

The third proportional to 27,816 and 60,904 is: 133,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816 : 60,904 = 60,904 : x
  2. Step 2: Convert to fraction form
    27,816/60,904 = 60,904/x
  3. Step 3: Cross multiply
    27,816x = 60,904 × 60,904
  4. Step 4: Simplify right side
    27,816x = 3,709,297,216
  5. Step 5: Solve for x
    x = 3,709,297,216/27,816
  6. Step 6: Final answer
    x = 133,351.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.