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Finding the Third Proportional to 16,000.31 and 21,539.44

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Solution

The third proportional to 16,000.31 and 21,539.44 is: 28,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.31 : 21,539.44 = 21,539.44 : x
  2. Step 2: Convert to fraction form
    16,000.31/21,539.44 = 21,539.44/x
  3. Step 3: Cross multiply
    16,000.31x = 21,539.44 × 21,539.44
  4. Step 4: Simplify right side
    16,000.31x = 463,947,367.82
  5. Step 5: Solve for x
    x = 463,947,367.82/16,000.31
  6. Step 6: Final answer
    x = 28,996.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.