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Finding the Third Proportional to 15,892.88 and 21,814.31

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Solution

The third proportional to 15,892.88 and 21,814.31 is: 29,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.88 : 21,814.31 = 21,814.31 : x
  2. Step 2: Convert to fraction form
    15,892.88/21,814.31 = 21,814.31/x
  3. Step 3: Cross multiply
    15,892.88x = 21,814.31 × 21,814.31
  4. Step 4: Simplify right side
    15,892.88x = 475,864,229.85
  5. Step 5: Solve for x
    x = 475,864,229.85/15,892.88
  6. Step 6: Final answer
    x = 29,941.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.