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Finding the Third Proportional to 39,022 and 55,764

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Solution

The third proportional to 39,022 and 55,764 is: 79,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022 : 55,764 = 55,764 : x
  2. Step 2: Convert to fraction form
    39,022/55,764 = 55,764/x
  3. Step 3: Cross multiply
    39,022x = 55,764 × 55,764
  4. Step 4: Simplify right side
    39,022x = 3,109,623,696
  5. Step 5: Solve for x
    x = 3,109,623,696/39,022
  6. Step 6: Final answer
    x = 79,688.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.