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Finding the Third Proportional to 23,944 and 52,880

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Solution

The third proportional to 23,944 and 52,880 is: 116,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944 : 52,880 = 52,880 : x
  2. Step 2: Convert to fraction form
    23,944/52,880 = 52,880/x
  3. Step 3: Cross multiply
    23,944x = 52,880 × 52,880
  4. Step 4: Simplify right side
    23,944x = 2,796,294,400
  5. Step 5: Solve for x
    x = 2,796,294,400/23,944
  6. Step 6: Final answer
    x = 116,784.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.