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Finding the Third Proportional to 24,138.50 and 50,484

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Solution

The third proportional to 24,138.50 and 50,484 is: 105,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.50 : 50,484 = 50,484 : x
  2. Step 2: Convert to fraction form
    24,138.50/50,484 = 50,484/x
  3. Step 3: Cross multiply
    24,138.50x = 50,484 × 50,484
  4. Step 4: Simplify right side
    24,138.50x = 2,548,634,256
  5. Step 5: Solve for x
    x = 2,548,634,256/24,138.50
  6. Step 6: Final answer
    x = 105,583.79

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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.