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Finding the Third Proportional to 16,120 and 22,700

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Solution

The third proportional to 16,120 and 22,700 is: 31,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120 : 22,700 = 22,700 : x
  2. Step 2: Convert to fraction form
    16,120/22,700 = 22,700/x
  3. Step 3: Cross multiply
    16,120x = 22,700 × 22,700
  4. Step 4: Simplify right side
    16,120x = 515,290,000
  5. Step 5: Solve for x
    x = 515,290,000/16,120
  6. Step 6: Final answer
    x = 31,965.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.