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Finding the Third Proportional to 25,032.38 and 50,755.50

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Solution

The third proportional to 25,032.38 and 50,755.50 is: 102,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032.38 : 50,755.50 = 50,755.50 : x
  2. Step 2: Convert to fraction form
    25,032.38/50,755.50 = 50,755.50/x
  3. Step 3: Cross multiply
    25,032.38x = 50,755.50 × 50,755.50
  4. Step 4: Simplify right side
    25,032.38x = 2,576,120,780.25
  5. Step 5: Solve for x
    x = 2,576,120,780.25/25,032.38
  6. Step 6: Final answer
    x = 102,911.56

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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.