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Finding the Third Proportional to 21,889.69 and 34,201.69

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Solution

The third proportional to 21,889.69 and 34,201.69 is: 53,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889.69 : 34,201.69 = 34,201.69 : x
  2. Step 2: Convert to fraction form
    21,889.69/34,201.69 = 34,201.69/x
  3. Step 3: Cross multiply
    21,889.69x = 34,201.69 × 34,201.69
  4. Step 4: Simplify right side
    21,889.69x = 1,169,755,427.85
  5. Step 5: Solve for x
    x = 1,169,755,427.85/21,889.69
  6. Step 6: Final answer
    x = 53,438.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.