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Finding the Third Proportional to 16,379.63 and 24,543.84

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Solution

The third proportional to 16,379.63 and 24,543.84 is: 36,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.63 : 24,543.84 = 24,543.84 : x
  2. Step 2: Convert to fraction form
    16,379.63/24,543.84 = 24,543.84/x
  3. Step 3: Cross multiply
    16,379.63x = 24,543.84 × 24,543.84
  4. Step 4: Simplify right side
    16,379.63x = 602,400,266.02
  5. Step 5: Solve for x
    x = 602,400,266.02/16,379.63
  6. Step 6: Final answer
    x = 36,777.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.