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Finding the Third Proportional to 14,274 and 33,354

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Solution

The third proportional to 14,274 and 33,354 is: 77,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274 : 33,354 = 33,354 : x
  2. Step 2: Convert to fraction form
    14,274/33,354 = 33,354/x
  3. Step 3: Cross multiply
    14,274x = 33,354 × 33,354
  4. Step 4: Simplify right side
    14,274x = 1,112,489,316
  5. Step 5: Solve for x
    x = 1,112,489,316/14,274
  6. Step 6: Final answer
    x = 77,938.16

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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.