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Finding the Third Proportional to 26,257.50 and 41,576.25

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Solution

The third proportional to 26,257.50 and 41,576.25 is: 65,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.50 : 41,576.25 = 41,576.25 : x
  2. Step 2: Convert to fraction form
    26,257.50/41,576.25 = 41,576.25/x
  3. Step 3: Cross multiply
    26,257.50x = 41,576.25 × 41,576.25
  4. Step 4: Simplify right side
    26,257.50x = 1,728,584,564.06
  5. Step 5: Solve for x
    x = 1,728,584,564.06/26,257.50
  6. Step 6: Final answer
    x = 65,832.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.