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Finding the Third Proportional to 24,735.38 and 50,253.75

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Solution

The third proportional to 24,735.38 and 50,253.75 is: 102,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.38 : 50,253.75 = 50,253.75 : x
  2. Step 2: Convert to fraction form
    24,735.38/50,253.75 = 50,253.75/x
  3. Step 3: Cross multiply
    24,735.38x = 50,253.75 × 50,253.75
  4. Step 4: Simplify right side
    24,735.38x = 2,525,439,389.06
  5. Step 5: Solve for x
    x = 2,525,439,389.06/24,735.38
  6. Step 6: Final answer
    x = 102,098.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.