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Finding the Third Proportional to 24,736 and 53,984

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Solution

The third proportional to 24,736 and 53,984 is: 117,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736 : 53,984 = 53,984 : x
  2. Step 2: Convert to fraction form
    24,736/53,984 = 53,984/x
  3. Step 3: Cross multiply
    24,736x = 53,984 × 53,984
  4. Step 4: Simplify right side
    24,736x = 2,914,272,256
  5. Step 5: Solve for x
    x = 2,914,272,256/24,736
  6. Step 6: Final answer
    x = 117,815.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.