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Finding the Third Proportional to 20,916 and 48,402

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Solution

The third proportional to 20,916 and 48,402 is: 112,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 48,402 = 48,402 : x
  2. Step 2: Convert to fraction form
    20,916/48,402 = 48,402/x
  3. Step 3: Cross multiply
    20,916x = 48,402 × 48,402
  4. Step 4: Simplify right side
    20,916x = 2,342,753,604
  5. Step 5: Solve for x
    x = 2,342,753,604/20,916
  6. Step 6: Final answer
    x = 112,007.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.