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Finding the Third Proportional to 41,082 and 63,365.25

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Solution

The third proportional to 41,082 and 63,365.25 is: 97,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 63,365.25 = 63,365.25 : x
  2. Step 2: Convert to fraction form
    41,082/63,365.25 = 63,365.25/x
  3. Step 3: Cross multiply
    41,082x = 63,365.25 × 63,365.25
  4. Step 4: Simplify right side
    41,082x = 4,015,154,907.56
  5. Step 5: Solve for x
    x = 4,015,154,907.56/41,082
  6. Step 6: Final answer
    x = 97,735.14

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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.