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Finding the Third Proportional to 27,888 and 60,396

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Solution

The third proportional to 27,888 and 60,396 is: 130,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 60,396 = 60,396 : x
  2. Step 2: Convert to fraction form
    27,888/60,396 = 60,396/x
  3. Step 3: Cross multiply
    27,888x = 60,396 × 60,396
  4. Step 4: Simplify right side
    27,888x = 3,647,676,816
  5. Step 5: Solve for x
    x = 3,647,676,816/27,888
  6. Step 6: Final answer
    x = 130,797.36

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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.