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Finding the Third Proportional to 16,174.69 and 24,281.02

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Solution

The third proportional to 16,174.69 and 24,281.02 is: 36,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.69 : 24,281.02 = 24,281.02 : x
  2. Step 2: Convert to fraction form
    16,174.69/24,281.02 = 24,281.02/x
  3. Step 3: Cross multiply
    16,174.69x = 24,281.02 × 24,281.02
  4. Step 4: Simplify right side
    16,174.69x = 589,567,719.78
  5. Step 5: Solve for x
    x = 589,567,719.78/16,174.69
  6. Step 6: Final answer
    x = 36,450.02

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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.