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Finding the Third Proportional to 39,676 and 52,898

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Solution

The third proportional to 39,676 and 52,898 is: 70,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676 : 52,898 = 52,898 : x
  2. Step 2: Convert to fraction form
    39,676/52,898 = 52,898/x
  3. Step 3: Cross multiply
    39,676x = 52,898 × 52,898
  4. Step 4: Simplify right side
    39,676x = 2,798,198,404
  5. Step 5: Solve for x
    x = 2,798,198,404/39,676
  6. Step 6: Final answer
    x = 70,526.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.