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Finding the Third Proportional to 24,326 and 53,224

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Solution

The third proportional to 24,326 and 53,224 is: 116,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,326 : 53,224 = 53,224 : x
  2. Step 2: Convert to fraction form
    24,326/53,224 = 53,224/x
  3. Step 3: Cross multiply
    24,326x = 53,224 × 53,224
  4. Step 4: Simplify right side
    24,326x = 2,832,794,176
  5. Step 5: Solve for x
    x = 2,832,794,176/24,326
  6. Step 6: Final answer
    x = 116,451.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.