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Finding the Third Proportional to 16,299 and 24,145.50

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Solution

The third proportional to 16,299 and 24,145.50 is: 35,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299 : 24,145.50 = 24,145.50 : x
  2. Step 2: Convert to fraction form
    16,299/24,145.50 = 24,145.50/x
  3. Step 3: Cross multiply
    16,299x = 24,145.50 × 24,145.50
  4. Step 4: Simplify right side
    16,299x = 583,005,170.25
  5. Step 5: Solve for x
    x = 583,005,170.25/16,299
  6. Step 6: Final answer
    x = 35,769.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.