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Finding the Third Proportional to 40,628 and 59,766

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Solution

The third proportional to 40,628 and 59,766 is: 87,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,628 : 59,766 = 59,766 : x
  2. Step 2: Convert to fraction form
    40,628/59,766 = 59,766/x
  3. Step 3: Cross multiply
    40,628x = 59,766 × 59,766
  4. Step 4: Simplify right side
    40,628x = 3,571,974,756
  5. Step 5: Solve for x
    x = 3,571,974,756/40,628
  6. Step 6: Final answer
    x = 87,919.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.