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Finding the Third Proportional to 16,220.25 and 24,330.38

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Solution

The third proportional to 16,220.25 and 24,330.38 is: 36,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.25 : 24,330.38 = 24,330.38 : x
  2. Step 2: Convert to fraction form
    16,220.25/24,330.38 = 24,330.38/x
  3. Step 3: Cross multiply
    16,220.25x = 24,330.38 × 24,330.38
  4. Step 4: Simplify right side
    16,220.25x = 591,967,147.64
  5. Step 5: Solve for x
    x = 591,967,147.64/16,220.25
  6. Step 6: Final answer
    x = 36,495.56

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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.