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Finding the Third Proportional to 27,888 and 57,396

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Solution

The third proportional to 27,888 and 57,396 is: 118,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 57,396 = 57,396 : x
  2. Step 2: Convert to fraction form
    27,888/57,396 = 57,396/x
  3. Step 3: Cross multiply
    27,888x = 57,396 × 57,396
  4. Step 4: Simplify right side
    27,888x = 3,294,300,816
  5. Step 5: Solve for x
    x = 3,294,300,816/27,888
  6. Step 6: Final answer
    x = 118,126.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.