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Finding the Third Proportional to 14,894 and 20,516

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Solution

The third proportional to 14,894 and 20,516 is: 28,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 20,516 = 20,516 : x
  2. Step 2: Convert to fraction form
    14,894/20,516 = 20,516/x
  3. Step 3: Cross multiply
    14,894x = 20,516 × 20,516
  4. Step 4: Simplify right side
    14,894x = 420,906,256
  5. Step 5: Solve for x
    x = 420,906,256/14,894
  6. Step 6: Final answer
    x = 28,260.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.