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Finding the Third Proportional to 16,449.38 and 36,178.50

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Solution

The third proportional to 16,449.38 and 36,178.50 is: 79,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.38 : 36,178.50 = 36,178.50 : x
  2. Step 2: Convert to fraction form
    16,449.38/36,178.50 = 36,178.50/x
  3. Step 3: Cross multiply
    16,449.38x = 36,178.50 × 36,178.50
  4. Step 4: Simplify right side
    16,449.38x = 1,308,883,862.25
  5. Step 5: Solve for x
    x = 1,308,883,862.25/16,449.38
  6. Step 6: Final answer
    x = 79,570.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.