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Finding the Third Proportional to 16,514.81 and 24,777.38

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Solution

The third proportional to 16,514.81 and 24,777.38 is: 37,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.81 : 24,777.38 = 24,777.38 : x
  2. Step 2: Convert to fraction form
    16,514.81/24,777.38 = 24,777.38/x
  3. Step 3: Cross multiply
    16,514.81x = 24,777.38 × 24,777.38
  4. Step 4: Simplify right side
    16,514.81x = 613,918,311.89
  5. Step 5: Solve for x
    x = 613,918,311.89/16,514.81
  6. Step 6: Final answer
    x = 37,173.80

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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.