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Finding the Third Proportional to 16,353 and 23,944.50

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Solution

The third proportional to 16,353 and 23,944.50 is: 35,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353 : 23,944.50 = 23,944.50 : x
  2. Step 2: Convert to fraction form
    16,353/23,944.50 = 23,944.50/x
  3. Step 3: Cross multiply
    16,353x = 23,944.50 × 23,944.50
  4. Step 4: Simplify right side
    16,353x = 573,339,080.25
  5. Step 5: Solve for x
    x = 573,339,080.25/16,353
  6. Step 6: Final answer
    x = 35,060.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.