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Finding the Third Proportional to 16,185.50 and 24,427

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Solution

The third proportional to 16,185.50 and 24,427 is: 36,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.50 : 24,427 = 24,427 : x
  2. Step 2: Convert to fraction form
    16,185.50/24,427 = 24,427/x
  3. Step 3: Cross multiply
    16,185.50x = 24,427 × 24,427
  4. Step 4: Simplify right side
    16,185.50x = 596,678,329
  5. Step 5: Solve for x
    x = 596,678,329/16,185.50
  6. Step 6: Final answer
    x = 36,864.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.