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Finding the Third Proportional to 23,742 and 44,082

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Solution

The third proportional to 23,742 and 44,082 is: 81,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742 : 44,082 = 44,082 : x
  2. Step 2: Convert to fraction form
    23,742/44,082 = 44,082/x
  3. Step 3: Cross multiply
    23,742x = 44,082 × 44,082
  4. Step 4: Simplify right side
    23,742x = 1,943,222,724
  5. Step 5: Solve for x
    x = 1,943,222,724/23,742
  6. Step 6: Final answer
    x = 81,847.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.