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Finding the Third Proportional to 24,434 and 51,736

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Solution

The third proportional to 24,434 and 51,736 is: 109,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434 : 51,736 = 51,736 : x
  2. Step 2: Convert to fraction form
    24,434/51,736 = 51,736/x
  3. Step 3: Cross multiply
    24,434x = 51,736 × 51,736
  4. Step 4: Simplify right side
    24,434x = 2,676,613,696
  5. Step 5: Solve for x
    x = 2,676,613,696/24,434
  6. Step 6: Final answer
    x = 109,544.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.