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Finding the Third Proportional to 22,302 and 53,844

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Solution

The third proportional to 22,302 and 53,844 is: 129,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 53,844 = 53,844 : x
  2. Step 2: Convert to fraction form
    22,302/53,844 = 53,844/x
  3. Step 3: Cross multiply
    22,302x = 53,844 × 53,844
  4. Step 4: Simplify right side
    22,302x = 2,899,176,336
  5. Step 5: Solve for x
    x = 2,899,176,336/22,302
  6. Step 6: Final answer
    x = 129,996.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.