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Finding the Third Proportional to 41,082 and 61,915.50

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Solution

The third proportional to 41,082 and 61,915.50 is: 93,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 61,915.50 = 61,915.50 : x
  2. Step 2: Convert to fraction form
    41,082/61,915.50 = 61,915.50/x
  3. Step 3: Cross multiply
    41,082x = 61,915.50 × 61,915.50
  4. Step 4: Simplify right side
    41,082x = 3,833,529,140.25
  5. Step 5: Solve for x
    x = 3,833,529,140.25/41,082
  6. Step 6: Final answer
    x = 93,314.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.