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Finding the Third Proportional to 14,464 and 33,208

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Solution

The third proportional to 14,464 and 33,208 is: 76,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464 : 33,208 = 33,208 : x
  2. Step 2: Convert to fraction form
    14,464/33,208 = 33,208/x
  3. Step 3: Cross multiply
    14,464x = 33,208 × 33,208
  4. Step 4: Simplify right side
    14,464x = 1,102,771,264
  5. Step 5: Solve for x
    x = 1,102,771,264/14,464
  6. Step 6: Final answer
    x = 76,242.48

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.