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Finding the Third Proportional to 24,399 and 50,485.50

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Solution

The third proportional to 24,399 and 50,485.50 is: 104,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399 : 50,485.50 = 50,485.50 : x
  2. Step 2: Convert to fraction form
    24,399/50,485.50 = 50,485.50/x
  3. Step 3: Cross multiply
    24,399x = 50,485.50 × 50,485.50
  4. Step 4: Simplify right side
    24,399x = 2,548,785,710.25
  5. Step 5: Solve for x
    x = 2,548,785,710.25/24,399
  6. Step 6: Final answer
    x = 104,462.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.