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Finding the Third Proportional to 33,706 and 52,332

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Solution

The third proportional to 33,706 and 52,332 is: 81,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706 : 52,332 = 52,332 : x
  2. Step 2: Convert to fraction form
    33,706/52,332 = 52,332/x
  3. Step 3: Cross multiply
    33,706x = 52,332 × 52,332
  4. Step 4: Simplify right side
    33,706x = 2,738,638,224
  5. Step 5: Solve for x
    x = 2,738,638,224/33,706
  6. Step 6: Final answer
    x = 81,250.76

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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.