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Finding the Third Proportional to 16,335 and 24,438.38

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Solution

The third proportional to 16,335 and 24,438.38 is: 36,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335 : 24,438.38 = 24,438.38 : x
  2. Step 2: Convert to fraction form
    16,335/24,438.38 = 24,438.38/x
  3. Step 3: Cross multiply
    16,335x = 24,438.38 × 24,438.38
  4. Step 4: Simplify right side
    16,335x = 597,234,172.64
  5. Step 5: Solve for x
    x = 597,234,172.64/16,335
  6. Step 6: Final answer
    x = 36,561.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.