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Finding the Third Proportional to 10,383 and 22,779

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Solution

The third proportional to 10,383 and 22,779 is: 49,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 22,779 = 22,779 : x
  2. Step 2: Convert to fraction form
    10,383/22,779 = 22,779/x
  3. Step 3: Cross multiply
    10,383x = 22,779 × 22,779
  4. Step 4: Simplify right side
    10,383x = 518,882,841
  5. Step 5: Solve for x
    x = 518,882,841/10,383
  6. Step 6: Final answer
    x = 49,974.27

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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.