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Finding the Third Proportional to 50,716 and 74,638

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Solution

The third proportional to 50,716 and 74,638 is: 109,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716 : 74,638 = 74,638 : x
  2. Step 2: Convert to fraction form
    50,716/74,638 = 74,638/x
  3. Step 3: Cross multiply
    50,716x = 74,638 × 74,638
  4. Step 4: Simplify right side
    50,716x = 5,570,831,044
  5. Step 5: Solve for x
    x = 5,570,831,044/50,716
  6. Step 6: Final answer
    x = 109,843.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.