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Finding the Third Proportional to 48,212 and 66,942

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Solution

The third proportional to 48,212 and 66,942 is: 92,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,212 : 66,942 = 66,942 : x
  2. Step 2: Convert to fraction form
    48,212/66,942 = 66,942/x
  3. Step 3: Cross multiply
    48,212x = 66,942 × 66,942
  4. Step 4: Simplify right side
    48,212x = 4,481,231,364
  5. Step 5: Solve for x
    x = 4,481,231,364/48,212
  6. Step 6: Final answer
    x = 92,948.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.