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Finding the Third Proportional to 49,488 and 80,832

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Solution

The third proportional to 49,488 and 80,832 is: 132,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 80,832 = 80,832 : x
  2. Step 2: Convert to fraction form
    49,488/80,832 = 80,832/x
  3. Step 3: Cross multiply
    49,488x = 80,832 × 80,832
  4. Step 4: Simplify right side
    49,488x = 6,533,812,224
  5. Step 5: Solve for x
    x = 6,533,812,224/49,488
  6. Step 6: Final answer
    x = 132,028.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.