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Finding the Third Proportional to 9,833.63 and 14,747.44

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Solution

The third proportional to 9,833.63 and 14,747.44 is: 22,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.63 : 14,747.44 = 14,747.44 : x
  2. Step 2: Convert to fraction form
    9,833.63/14,747.44 = 14,747.44/x
  3. Step 3: Cross multiply
    9,833.63x = 14,747.44 × 14,747.44
  4. Step 4: Simplify right side
    9,833.63x = 217,486,912.82
  5. Step 5: Solve for x
    x = 217,486,912.82/9,833.63
  6. Step 6: Final answer
    x = 22,116.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.