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Finding the Third Proportional to 35,450 and 49,569

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Solution

The third proportional to 35,450 and 49,569 is: 69,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,450 : 49,569 = 49,569 : x
  2. Step 2: Convert to fraction form
    35,450/49,569 = 49,569/x
  3. Step 3: Cross multiply
    35,450x = 49,569 × 49,569
  4. Step 4: Simplify right side
    35,450x = 2,457,085,761
  5. Step 5: Solve for x
    x = 2,457,085,761/35,450
  6. Step 6: Final answer
    x = 69,311.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.