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Finding the Third Proportional to 8,644 and 16,082

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Solution

The third proportional to 8,644 and 16,082 is: 29,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644 : 16,082 = 16,082 : x
  2. Step 2: Convert to fraction form
    8,644/16,082 = 16,082/x
  3. Step 3: Cross multiply
    8,644x = 16,082 × 16,082
  4. Step 4: Simplify right side
    8,644x = 258,630,724
  5. Step 5: Solve for x
    x = 258,630,724/8,644
  6. Step 6: Final answer
    x = 29,920.26

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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.