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Finding the Third Proportional to 33,816 and 52,566

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Solution

The third proportional to 33,816 and 52,566 is: 81,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 52,566 = 52,566 : x
  2. Step 2: Convert to fraction form
    33,816/52,566 = 52,566/x
  3. Step 3: Cross multiply
    33,816x = 52,566 × 52,566
  4. Step 4: Simplify right side
    33,816x = 2,763,184,356
  5. Step 5: Solve for x
    x = 2,763,184,356/33,816
  6. Step 6: Final answer
    x = 81,712.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.