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Finding the Third Proportional to 11,574 and 24,156

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Solution

The third proportional to 11,574 and 24,156 is: 50,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 24,156 = 24,156 : x
  2. Step 2: Convert to fraction form
    11,574/24,156 = 24,156/x
  3. Step 3: Cross multiply
    11,574x = 24,156 × 24,156
  4. Step 4: Simplify right side
    11,574x = 583,512,336
  5. Step 5: Solve for x
    x = 583,512,336/11,574
  6. Step 6: Final answer
    x = 50,415.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.