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Finding the Third Proportional to 23,824 and 51,680

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Solution

The third proportional to 23,824 and 51,680 is: 112,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824 : 51,680 = 51,680 : x
  2. Step 2: Convert to fraction form
    23,824/51,680 = 51,680/x
  3. Step 3: Cross multiply
    23,824x = 51,680 × 51,680
  4. Step 4: Simplify right side
    23,824x = 2,670,822,400
  5. Step 5: Solve for x
    x = 2,670,822,400/23,824
  6. Step 6: Final answer
    x = 112,106.38

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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.