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Finding the Third Proportional to 14,099 and 33,402

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Solution

The third proportional to 14,099 and 33,402 is: 79,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099 : 33,402 = 33,402 : x
  2. Step 2: Convert to fraction form
    14,099/33,402 = 33,402/x
  3. Step 3: Cross multiply
    14,099x = 33,402 × 33,402
  4. Step 4: Simplify right side
    14,099x = 1,115,693,604
  5. Step 5: Solve for x
    x = 1,115,693,604/14,099
  6. Step 6: Final answer
    x = 79,132.82

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.