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Finding the Third Proportional to 16,176 and 22,830

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Solution

The third proportional to 16,176 and 22,830 is: 32,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176 : 22,830 = 22,830 : x
  2. Step 2: Convert to fraction form
    16,176/22,830 = 22,830/x
  3. Step 3: Cross multiply
    16,176x = 22,830 × 22,830
  4. Step 4: Simplify right side
    16,176x = 521,208,900
  5. Step 5: Solve for x
    x = 521,208,900/16,176
  6. Step 6: Final answer
    x = 32,221.12

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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.