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Finding the Third Proportional to 16,549.31 and 36,014.63

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Solution

The third proportional to 16,549.31 and 36,014.63 is: 78,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.31 : 36,014.63 = 36,014.63 : x
  2. Step 2: Convert to fraction form
    16,549.31/36,014.63 = 36,014.63/x
  3. Step 3: Cross multiply
    16,549.31x = 36,014.63 × 36,014.63
  4. Step 4: Simplify right side
    16,549.31x = 1,297,053,213.89
  5. Step 5: Solve for x
    x = 1,297,053,213.89/16,549.31
  6. Step 6: Final answer
    x = 78,375.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.