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Finding the Third Proportional to 48,519 and 72,477

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Solution

The third proportional to 48,519 and 72,477 is: 108,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,519 : 72,477 = 72,477 : x
  2. Step 2: Convert to fraction form
    48,519/72,477 = 72,477/x
  3. Step 3: Cross multiply
    48,519x = 72,477 × 72,477
  4. Step 4: Simplify right side
    48,519x = 5,252,915,529
  5. Step 5: Solve for x
    x = 5,252,915,529/48,519
  6. Step 6: Final answer
    x = 108,265.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.