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Finding the Third Proportional to 19,665 and 29,880

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Solution

The third proportional to 19,665 and 29,880 is: 45,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665 : 29,880 = 29,880 : x
  2. Step 2: Convert to fraction form
    19,665/29,880 = 29,880/x
  3. Step 3: Cross multiply
    19,665x = 29,880 × 29,880
  4. Step 4: Simplify right side
    19,665x = 892,814,400
  5. Step 5: Solve for x
    x = 892,814,400/19,665
  6. Step 6: Final answer
    x = 45,401.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.