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Finding the Third Proportional to 7,852 and 16,082

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Solution

The third proportional to 7,852 and 16,082 is: 32,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 16,082 = 16,082 : x
  2. Step 2: Convert to fraction form
    7,852/16,082 = 16,082/x
  3. Step 3: Cross multiply
    7,852x = 16,082 × 16,082
  4. Step 4: Simplify right side
    7,852x = 258,630,724
  5. Step 5: Solve for x
    x = 258,630,724/7,852
  6. Step 6: Final answer
    x = 32,938.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.