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Finding the Third Proportional to 20,416 and 30,894

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Solution

The third proportional to 20,416 and 30,894 is: 46,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 30,894 = 30,894 : x
  2. Step 2: Convert to fraction form
    20,416/30,894 = 30,894/x
  3. Step 3: Cross multiply
    20,416x = 30,894 × 30,894
  4. Step 4: Simplify right side
    20,416x = 954,439,236
  5. Step 5: Solve for x
    x = 954,439,236/20,416
  6. Step 6: Final answer
    x = 46,749.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.