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Finding the Third Proportional to 33,779 and 49,365

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Solution

The third proportional to 33,779 and 49,365 is: 72,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,779 : 49,365 = 49,365 : x
  2. Step 2: Convert to fraction form
    33,779/49,365 = 49,365/x
  3. Step 3: Cross multiply
    33,779x = 49,365 × 49,365
  4. Step 4: Simplify right side
    33,779x = 2,436,903,225
  5. Step 5: Solve for x
    x = 2,436,903,225/33,779
  6. Step 6: Final answer
    x = 72,142.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.