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Finding the Third Proportional to 30,662 and 63,520

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Solution

The third proportional to 30,662 and 63,520 is: 131,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662 : 63,520 = 63,520 : x
  2. Step 2: Convert to fraction form
    30,662/63,520 = 63,520/x
  3. Step 3: Cross multiply
    30,662x = 63,520 × 63,520
  4. Step 4: Simplify right side
    30,662x = 4,034,790,400
  5. Step 5: Solve for x
    x = 4,034,790,400/30,662
  6. Step 6: Final answer
    x = 131,589.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.