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Finding the Third Proportional to 33,655.50 and 52,106

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Solution

The third proportional to 33,655.50 and 52,106 is: 80,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655.50 : 52,106 = 52,106 : x
  2. Step 2: Convert to fraction form
    33,655.50/52,106 = 52,106/x
  3. Step 3: Cross multiply
    33,655.50x = 52,106 × 52,106
  4. Step 4: Simplify right side
    33,655.50x = 2,715,035,236
  5. Step 5: Solve for x
    x = 2,715,035,236/33,655.50
  6. Step 6: Final answer
    x = 80,671.37

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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.