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Finding the Third Proportional to 21,538.69 and 33,098.34

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Solution

The third proportional to 21,538.69 and 33,098.34 is: 50,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.69 : 33,098.34 = 33,098.34 : x
  2. Step 2: Convert to fraction form
    21,538.69/33,098.34 = 33,098.34/x
  3. Step 3: Cross multiply
    21,538.69x = 33,098.34 × 33,098.34
  4. Step 4: Simplify right side
    21,538.69x = 1,095,500,358.99
  5. Step 5: Solve for x
    x = 1,095,500,358.99/21,538.69
  6. Step 6: Final answer
    x = 50,861.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.