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Finding the Third Proportional to 25,986.75 and 41,851.13

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Solution

The third proportional to 25,986.75 and 41,851.13 is: 67,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986.75 : 41,851.13 = 41,851.13 : x
  2. Step 2: Convert to fraction form
    25,986.75/41,851.13 = 41,851.13/x
  3. Step 3: Cross multiply
    25,986.75x = 41,851.13 × 41,851.13
  4. Step 4: Simplify right side
    25,986.75x = 1,751,516,663.77
  5. Step 5: Solve for x
    x = 1,751,516,663.77/25,986.75
  6. Step 6: Final answer
    x = 67,400.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.