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Finding the Third Proportional to 40,272.75 and 61,805.25

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Solution

The third proportional to 40,272.75 and 61,805.25 is: 94,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,272.75 : 61,805.25 = 61,805.25 : x
  2. Step 2: Convert to fraction form
    40,272.75/61,805.25 = 61,805.25/x
  3. Step 3: Cross multiply
    40,272.75x = 61,805.25 × 61,805.25
  4. Step 4: Simplify right side
    40,272.75x = 3,819,888,927.56
  5. Step 5: Solve for x
    x = 3,819,888,927.56/40,272.75
  6. Step 6: Final answer
    x = 94,850.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.