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Finding the Third Proportional to 49,476 and 75,848

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Solution

The third proportional to 49,476 and 75,848 is: 116,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476 : 75,848 = 75,848 : x
  2. Step 2: Convert to fraction form
    49,476/75,848 = 75,848/x
  3. Step 3: Cross multiply
    49,476x = 75,848 × 75,848
  4. Step 4: Simplify right side
    49,476x = 5,752,919,104
  5. Step 5: Solve for x
    x = 5,752,919,104/49,476
  6. Step 6: Final answer
    x = 116,276.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.