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Finding the Third Proportional to 29,638 and 45,951

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Solution

The third proportional to 29,638 and 45,951 is: 71,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638 : 45,951 = 45,951 : x
  2. Step 2: Convert to fraction form
    29,638/45,951 = 45,951/x
  3. Step 3: Cross multiply
    29,638x = 45,951 × 45,951
  4. Step 4: Simplify right side
    29,638x = 2,111,494,401
  5. Step 5: Solve for x
    x = 2,111,494,401/29,638
  6. Step 6: Final answer
    x = 71,242.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.