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Finding the Third Proportional to 27,924 and 57,792

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Solution

The third proportional to 27,924 and 57,792 is: 119,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924 : 57,792 = 57,792 : x
  2. Step 2: Convert to fraction form
    27,924/57,792 = 57,792/x
  3. Step 3: Cross multiply
    27,924x = 57,792 × 57,792
  4. Step 4: Simplify right side
    27,924x = 3,339,915,264
  5. Step 5: Solve for x
    x = 3,339,915,264/27,924
  6. Step 6: Final answer
    x = 119,607.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.