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Finding the Third Proportional to 16,012 and 34,940

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Solution

The third proportional to 16,012 and 34,940 is: 76,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012 : 34,940 = 34,940 : x
  2. Step 2: Convert to fraction form
    16,012/34,940 = 34,940/x
  3. Step 3: Cross multiply
    16,012x = 34,940 × 34,940
  4. Step 4: Simplify right side
    16,012x = 1,220,803,600
  5. Step 5: Solve for x
    x = 1,220,803,600/16,012
  6. Step 6: Final answer
    x = 76,243.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.