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Finding the Third Proportional to 48,320 and 73,884

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Solution

The third proportional to 48,320 and 73,884 is: 112,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320 : 73,884 = 73,884 : x
  2. Step 2: Convert to fraction form
    48,320/73,884 = 73,884/x
  3. Step 3: Cross multiply
    48,320x = 73,884 × 73,884
  4. Step 4: Simplify right side
    48,320x = 5,458,845,456
  5. Step 5: Solve for x
    x = 5,458,845,456/48,320
  6. Step 6: Final answer
    x = 112,972.80

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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.