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Finding the Third Proportional to 16,497 and 27,013.50

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Solution

The third proportional to 16,497 and 27,013.50 is: 44,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497 : 27,013.50 = 27,013.50 : x
  2. Step 2: Convert to fraction form
    16,497/27,013.50 = 27,013.50/x
  3. Step 3: Cross multiply
    16,497x = 27,013.50 × 27,013.50
  4. Step 4: Simplify right side
    16,497x = 729,729,182.25
  5. Step 5: Solve for x
    x = 729,729,182.25/16,497
  6. Step 6: Final answer
    x = 44,234.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.