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Finding the Third Proportional to 16,206 and 24,325.50

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Solution

The third proportional to 16,206 and 24,325.50 is: 36,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 24,325.50 = 24,325.50 : x
  2. Step 2: Convert to fraction form
    16,206/24,325.50 = 24,325.50/x
  3. Step 3: Cross multiply
    16,206x = 24,325.50 × 24,325.50
  4. Step 4: Simplify right side
    16,206x = 591,729,950.25
  5. Step 5: Solve for x
    x = 591,729,950.25/16,206
  6. Step 6: Final answer
    x = 36,513.02

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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.