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Finding the Third Proportional to 14,131 and 20,758

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Solution

The third proportional to 14,131 and 20,758 is: 30,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131 : 20,758 = 20,758 : x
  2. Step 2: Convert to fraction form
    14,131/20,758 = 20,758/x
  3. Step 3: Cross multiply
    14,131x = 20,758 × 20,758
  4. Step 4: Simplify right side
    14,131x = 430,894,564
  5. Step 5: Solve for x
    x = 430,894,564/14,131
  6. Step 6: Final answer
    x = 30,492.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.