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Finding the Third Proportional to 28,982.25 and 44,082

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Solution

The third proportional to 28,982.25 and 44,082 is: 67,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982.25 : 44,082 = 44,082 : x
  2. Step 2: Convert to fraction form
    28,982.25/44,082 = 44,082/x
  3. Step 3: Cross multiply
    28,982.25x = 44,082 × 44,082
  4. Step 4: Simplify right side
    28,982.25x = 1,943,222,724
  5. Step 5: Solve for x
    x = 1,943,222,724/28,982.25
  6. Step 6: Final answer
    x = 67,048.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.