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Finding the Third Proportional to 46,728 and 72,474

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Solution

The third proportional to 46,728 and 72,474 is: 112,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,728 : 72,474 = 72,474 : x
  2. Step 2: Convert to fraction form
    46,728/72,474 = 72,474/x
  3. Step 3: Cross multiply
    46,728x = 72,474 × 72,474
  4. Step 4: Simplify right side
    46,728x = 5,252,480,676
  5. Step 5: Solve for x
    x = 5,252,480,676/46,728
  6. Step 6: Final answer
    x = 112,405.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.