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Finding the Third Proportional to 7,731 and 16,693.50

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Solution

The third proportional to 7,731 and 16,693.50 is: 36,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 16,693.50 = 16,693.50 : x
  2. Step 2: Convert to fraction form
    7,731/16,693.50 = 16,693.50/x
  3. Step 3: Cross multiply
    7,731x = 16,693.50 × 16,693.50
  4. Step 4: Simplify right side
    7,731x = 278,672,942.25
  5. Step 5: Solve for x
    x = 278,672,942.25/7,731
  6. Step 6: Final answer
    x = 36,046.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.