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Finding the Third Proportional to 14,530 and 19,638

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Solution

The third proportional to 14,530 and 19,638 is: 26,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530 : 19,638 = 19,638 : x
  2. Step 2: Convert to fraction form
    14,530/19,638 = 19,638/x
  3. Step 3: Cross multiply
    14,530x = 19,638 × 19,638
  4. Step 4: Simplify right side
    14,530x = 385,651,044
  5. Step 5: Solve for x
    x = 385,651,044/14,530
  6. Step 6: Final answer
    x = 26,541.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.