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Finding the Third Proportional to 23,984 and 51,808

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Solution

The third proportional to 23,984 and 51,808 is: 111,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984 : 51,808 = 51,808 : x
  2. Step 2: Convert to fraction form
    23,984/51,808 = 51,808/x
  3. Step 3: Cross multiply
    23,984x = 51,808 × 51,808
  4. Step 4: Simplify right side
    23,984x = 2,684,068,864
  5. Step 5: Solve for x
    x = 2,684,068,864/23,984
  6. Step 6: Final answer
    x = 111,910.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.