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Finding the Third Proportional to 28,682 and 42,082

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Solution

The third proportional to 28,682 and 42,082 is: 61,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,682 : 42,082 = 42,082 : x
  2. Step 2: Convert to fraction form
    28,682/42,082 = 42,082/x
  3. Step 3: Cross multiply
    28,682x = 42,082 × 42,082
  4. Step 4: Simplify right side
    28,682x = 1,770,894,724
  5. Step 5: Solve for x
    x = 1,770,894,724/28,682
  6. Step 6: Final answer
    x = 61,742.37

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Why These Related Problems?

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