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Finding the Third Proportional to 40,718 and 59,619

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Solution

The third proportional to 40,718 and 59,619 is: 87,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,718 : 59,619 = 59,619 : x
  2. Step 2: Convert to fraction form
    40,718/59,619 = 59,619/x
  3. Step 3: Cross multiply
    40,718x = 59,619 × 59,619
  4. Step 4: Simplify right side
    40,718x = 3,554,425,161
  5. Step 5: Solve for x
    x = 3,554,425,161/40,718
  6. Step 6: Final answer
    x = 87,293.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.