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Finding the Third Proportional to 16,241 and 24,793.50

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Solution

The third proportional to 16,241 and 24,793.50 is: 37,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241 : 24,793.50 = 24,793.50 : x
  2. Step 2: Convert to fraction form
    16,241/24,793.50 = 24,793.50/x
  3. Step 3: Cross multiply
    16,241x = 24,793.50 × 24,793.50
  4. Step 4: Simplify right side
    16,241x = 614,717,642.25
  5. Step 5: Solve for x
    x = 614,717,642.25/16,241
  6. Step 6: Final answer
    x = 37,849.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.