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Finding the Third Proportional to 34,880 and 49,832

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Solution

The third proportional to 34,880 and 49,832 is: 71,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880 : 49,832 = 49,832 : x
  2. Step 2: Convert to fraction form
    34,880/49,832 = 49,832/x
  3. Step 3: Cross multiply
    34,880x = 49,832 × 49,832
  4. Step 4: Simplify right side
    34,880x = 2,483,228,224
  5. Step 5: Solve for x
    x = 2,483,228,224/34,880
  6. Step 6: Final answer
    x = 71,193.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.