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Finding the Third Proportional to 16,234.59 and 24,352.31

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Solution

The third proportional to 16,234.59 and 24,352.31 is: 36,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.59 : 24,352.31 = 24,352.31 : x
  2. Step 2: Convert to fraction form
    16,234.59/24,352.31 = 24,352.31/x
  3. Step 3: Cross multiply
    16,234.59x = 24,352.31 × 24,352.31
  4. Step 4: Simplify right side
    16,234.59x = 593,035,124.10
  5. Step 5: Solve for x
    x = 593,035,124.10/16,234.59
  6. Step 6: Final answer
    x = 36,529.10

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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.