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Finding the Third Proportional to 16,650 and 34,830

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Solution

The third proportional to 16,650 and 34,830 is: 72,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650 : 34,830 = 34,830 : x
  2. Step 2: Convert to fraction form
    16,650/34,830 = 34,830/x
  3. Step 3: Cross multiply
    16,650x = 34,830 × 34,830
  4. Step 4: Simplify right side
    16,650x = 1,213,128,900
  5. Step 5: Solve for x
    x = 1,213,128,900/16,650
  6. Step 6: Final answer
    x = 72,860.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.