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Finding the Third Proportional to 40,076.25 and 62,540.75

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Solution

The third proportional to 40,076.25 and 62,540.75 is: 97,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,076.25 : 62,540.75 = 62,540.75 : x
  2. Step 2: Convert to fraction form
    40,076.25/62,540.75 = 62,540.75/x
  3. Step 3: Cross multiply
    40,076.25x = 62,540.75 × 62,540.75
  4. Step 4: Simplify right side
    40,076.25x = 3,911,345,410.56
  5. Step 5: Solve for x
    x = 3,911,345,410.56/40,076.25
  6. Step 6: Final answer
    x = 97,597.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.