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Finding the Third Proportional to 19,880 and 32,898

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Solution

The third proportional to 19,880 and 32,898 is: 54,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880 : 32,898 = 32,898 : x
  2. Step 2: Convert to fraction form
    19,880/32,898 = 32,898/x
  3. Step 3: Cross multiply
    19,880x = 32,898 × 32,898
  4. Step 4: Simplify right side
    19,880x = 1,082,278,404
  5. Step 5: Solve for x
    x = 1,082,278,404/19,880
  6. Step 6: Final answer
    x = 54,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.