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Finding the Third Proportional to 11,779 and 25,407

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Solution

The third proportional to 11,779 and 25,407 is: 54,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 25,407 = 25,407 : x
  2. Step 2: Convert to fraction form
    11,779/25,407 = 25,407/x
  3. Step 3: Cross multiply
    11,779x = 25,407 × 25,407
  4. Step 4: Simplify right side
    11,779x = 645,515,649
  5. Step 5: Solve for x
    x = 645,515,649/11,779
  6. Step 6: Final answer
    x = 54,802.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.