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Finding the Third Proportional to 41,083 and 59,356

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Solution

The third proportional to 41,083 and 59,356 is: 85,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,083 : 59,356 = 59,356 : x
  2. Step 2: Convert to fraction form
    41,083/59,356 = 59,356/x
  3. Step 3: Cross multiply
    41,083x = 59,356 × 59,356
  4. Step 4: Simplify right side
    41,083x = 3,523,134,736
  5. Step 5: Solve for x
    x = 3,523,134,736/41,083
  6. Step 6: Final answer
    x = 85,756.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.