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Finding the Third Proportional to 41,196 and 62,584

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Solution

The third proportional to 41,196 and 62,584 is: 95,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,196 : 62,584 = 62,584 : x
  2. Step 2: Convert to fraction form
    41,196/62,584 = 62,584/x
  3. Step 3: Cross multiply
    41,196x = 62,584 × 62,584
  4. Step 4: Simplify right side
    41,196x = 3,916,757,056
  5. Step 5: Solve for x
    x = 3,916,757,056/41,196
  6. Step 6: Final answer
    x = 95,076.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.