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Finding the Third Proportional to 46,272 and 69,728

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Solution

The third proportional to 46,272 and 69,728 is: 105,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,272 : 69,728 = 69,728 : x
  2. Step 2: Convert to fraction form
    46,272/69,728 = 69,728/x
  3. Step 3: Cross multiply
    46,272x = 69,728 × 69,728
  4. Step 4: Simplify right side
    46,272x = 4,861,993,984
  5. Step 5: Solve for x
    x = 4,861,993,984/46,272
  6. Step 6: Final answer
    x = 105,074.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.