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Finding the Third Proportional to 48,259 and 73,824

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Solution

The third proportional to 48,259 and 73,824 is: 112,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,259 : 73,824 = 73,824 : x
  2. Step 2: Convert to fraction form
    48,259/73,824 = 73,824/x
  3. Step 3: Cross multiply
    48,259x = 73,824 × 73,824
  4. Step 4: Simplify right side
    48,259x = 5,449,982,976
  5. Step 5: Solve for x
    x = 5,449,982,976/48,259
  6. Step 6: Final answer
    x = 112,931.95

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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.