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Finding the Third Proportional to 48,783 and 72,966

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Solution

The third proportional to 48,783 and 72,966 is: 109,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,783 : 72,966 = 72,966 : x
  2. Step 2: Convert to fraction form
    48,783/72,966 = 72,966/x
  3. Step 3: Cross multiply
    48,783x = 72,966 × 72,966
  4. Step 4: Simplify right side
    48,783x = 5,324,037,156
  5. Step 5: Solve for x
    x = 5,324,037,156/48,783
  6. Step 6: Final answer
    x = 109,137.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.