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Finding the Third Proportional to 14,960 and 32,836

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Solution

The third proportional to 14,960 and 32,836 is: 72,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960 : 32,836 = 32,836 : x
  2. Step 2: Convert to fraction form
    14,960/32,836 = 32,836/x
  3. Step 3: Cross multiply
    14,960x = 32,836 × 32,836
  4. Step 4: Simplify right side
    14,960x = 1,078,202,896
  5. Step 5: Solve for x
    x = 1,078,202,896/14,960
  6. Step 6: Final answer
    x = 72,072.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.