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Finding the Third Proportional to 7,833.50 and 11,998

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Solution

The third proportional to 7,833.50 and 11,998 is: 18,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.50 : 11,998 = 11,998 : x
  2. Step 2: Convert to fraction form
    7,833.50/11,998 = 11,998/x
  3. Step 3: Cross multiply
    7,833.50x = 11,998 × 11,998
  4. Step 4: Simplify right side
    7,833.50x = 143,952,004
  5. Step 5: Solve for x
    x = 143,952,004/7,833.50
  6. Step 6: Final answer
    x = 18,376.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.