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Finding the Third Proportional to 14,238 and 33,264

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Solution

The third proportional to 14,238 and 33,264 is: 77,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 33,264 = 33,264 : x
  2. Step 2: Convert to fraction form
    14,238/33,264 = 33,264/x
  3. Step 3: Cross multiply
    14,238x = 33,264 × 33,264
  4. Step 4: Simplify right side
    14,238x = 1,106,493,696
  5. Step 5: Solve for x
    x = 1,106,493,696/14,238
  6. Step 6: Final answer
    x = 77,714.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.