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Finding the Third Proportional to 25,918.75 and 41,261.75

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Solution

The third proportional to 25,918.75 and 41,261.75 is: 65,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,918.75 : 41,261.75 = 41,261.75 : x
  2. Step 2: Convert to fraction form
    25,918.75/41,261.75 = 41,261.75/x
  3. Step 3: Cross multiply
    25,918.75x = 41,261.75 × 41,261.75
  4. Step 4: Simplify right side
    25,918.75x = 1,702,532,013.06
  5. Step 5: Solve for x
    x = 1,702,532,013.06/25,918.75
  6. Step 6: Final answer
    x = 65,687.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.