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Finding the Third Proportional to 23,574 and 50,424

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Solution

The third proportional to 23,574 and 50,424 is: 107,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574 : 50,424 = 50,424 : x
  2. Step 2: Convert to fraction form
    23,574/50,424 = 50,424/x
  3. Step 3: Cross multiply
    23,574x = 50,424 × 50,424
  4. Step 4: Simplify right side
    23,574x = 2,542,579,776
  5. Step 5: Solve for x
    x = 2,542,579,776/23,574
  6. Step 6: Final answer
    x = 107,855.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.