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Finding the Third Proportional to 33,207 and 71,598

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Solution

The third proportional to 33,207 and 71,598 is: 154,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207 : 71,598 = 71,598 : x
  2. Step 2: Convert to fraction form
    33,207/71,598 = 71,598/x
  3. Step 3: Cross multiply
    33,207x = 71,598 × 71,598
  4. Step 4: Simplify right side
    33,207x = 5,126,273,604
  5. Step 5: Solve for x
    x = 5,126,273,604/33,207
  6. Step 6: Final answer
    x = 154,373.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.