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Finding the Third Proportional to 33,534 and 36,409.50

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Solution

The third proportional to 33,534 and 36,409.50 is: 39,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 36,409.50 = 36,409.50 : x
  2. Step 2: Convert to fraction form
    33,534/36,409.50 = 36,409.50/x
  3. Step 3: Cross multiply
    33,534x = 36,409.50 × 36,409.50
  4. Step 4: Simplify right side
    33,534x = 1,325,651,690.25
  5. Step 5: Solve for x
    x = 1,325,651,690.25/33,534
  6. Step 6: Final answer
    x = 39,531.57

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.