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Finding the Third Proportional to 46,792 and 71,995

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Solution

The third proportional to 46,792 and 71,995 is: 110,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,792 : 71,995 = 71,995 : x
  2. Step 2: Convert to fraction form
    46,792/71,995 = 71,995/x
  3. Step 3: Cross multiply
    46,792x = 71,995 × 71,995
  4. Step 4: Simplify right side
    46,792x = 5,183,280,025
  5. Step 5: Solve for x
    x = 5,183,280,025/46,792
  6. Step 6: Final answer
    x = 110,772.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.