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Finding the Third Proportional to 35,574 and 50,052

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Solution

The third proportional to 35,574 and 50,052 is: 70,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574 : 50,052 = 50,052 : x
  2. Step 2: Convert to fraction form
    35,574/50,052 = 50,052/x
  3. Step 3: Cross multiply
    35,574x = 50,052 × 50,052
  4. Step 4: Simplify right side
    35,574x = 2,505,202,704
  5. Step 5: Solve for x
    x = 2,505,202,704/35,574
  6. Step 6: Final answer
    x = 70,422.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.