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Finding the Third Proportional to 21,701 and 33,191.50

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Solution

The third proportional to 21,701 and 33,191.50 is: 50,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701 : 33,191.50 = 33,191.50 : x
  2. Step 2: Convert to fraction form
    21,701/33,191.50 = 33,191.50/x
  3. Step 3: Cross multiply
    21,701x = 33,191.50 × 33,191.50
  4. Step 4: Simplify right side
    21,701x = 1,101,675,672.25
  5. Step 5: Solve for x
    x = 1,101,675,672.25/21,701
  6. Step 6: Final answer
    x = 50,766.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.