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Finding the Third Proportional to 25,896.41 and 57,237.36

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Solution

The third proportional to 25,896.41 and 57,237.36 is: 126,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.41 : 57,237.36 = 57,237.36 : x
  2. Step 2: Convert to fraction form
    25,896.41/57,237.36 = 57,237.36/x
  3. Step 3: Cross multiply
    25,896.41x = 57,237.36 × 57,237.36
  4. Step 4: Simplify right side
    25,896.41x = 3,276,115,000.80
  5. Step 5: Solve for x
    x = 3,276,115,000.80/25,896.41
  6. Step 6: Final answer
    x = 126,508.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.