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Finding the Third Proportional to 41,102.25 and 63,390.75

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Solution

The third proportional to 41,102.25 and 63,390.75 is: 97,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.25 : 63,390.75 = 63,390.75 : x
  2. Step 2: Convert to fraction form
    41,102.25/63,390.75 = 63,390.75/x
  3. Step 3: Cross multiply
    41,102.25x = 63,390.75 × 63,390.75
  4. Step 4: Simplify right side
    41,102.25x = 4,018,387,185.56
  5. Step 5: Solve for x
    x = 4,018,387,185.56/41,102.25
  6. Step 6: Final answer
    x = 97,765.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.