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Finding the Third Proportional to 40,564 and 60,680

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Solution

The third proportional to 40,564 and 60,680 is: 90,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564 : 60,680 = 60,680 : x
  2. Step 2: Convert to fraction form
    40,564/60,680 = 60,680/x
  3. Step 3: Cross multiply
    40,564x = 60,680 × 60,680
  4. Step 4: Simplify right side
    40,564x = 3,682,062,400
  5. Step 5: Solve for x
    x = 3,682,062,400/40,564
  6. Step 6: Final answer
    x = 90,771.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.