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Finding the Third Proportional to 30,520 and 46,661

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Solution

The third proportional to 30,520 and 46,661 is: 71,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520 : 46,661 = 46,661 : x
  2. Step 2: Convert to fraction form
    30,520/46,661 = 46,661/x
  3. Step 3: Cross multiply
    30,520x = 46,661 × 46,661
  4. Step 4: Simplify right side
    30,520x = 2,177,248,921
  5. Step 5: Solve for x
    x = 2,177,248,921/30,520
  6. Step 6: Final answer
    x = 71,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.