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Finding the Third Proportional to 49,872 and 74,638

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Solution

The third proportional to 49,872 and 74,638 is: 111,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,872 : 74,638 = 74,638 : x
  2. Step 2: Convert to fraction form
    49,872/74,638 = 74,638/x
  3. Step 3: Cross multiply
    49,872x = 74,638 × 74,638
  4. Step 4: Simplify right side
    49,872x = 5,570,831,044
  5. Step 5: Solve for x
    x = 5,570,831,044/49,872
  6. Step 6: Final answer
    x = 111,702.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.