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Finding the Third Proportional to 24,074 and 55,336

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Solution

The third proportional to 24,074 and 55,336 is: 127,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074 : 55,336 = 55,336 : x
  2. Step 2: Convert to fraction form
    24,074/55,336 = 55,336/x
  3. Step 3: Cross multiply
    24,074x = 55,336 × 55,336
  4. Step 4: Simplify right side
    24,074x = 3,062,072,896
  5. Step 5: Solve for x
    x = 3,062,072,896/24,074
  6. Step 6: Final answer
    x = 127,194.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.