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Finding the Third Proportional to 6,221.81 and 9,633.94

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Solution

The third proportional to 6,221.81 and 9,633.94 is: 14,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.81 : 9,633.94 = 9,633.94 : x
  2. Step 2: Convert to fraction form
    6,221.81/9,633.94 = 9,633.94/x
  3. Step 3: Cross multiply
    6,221.81x = 9,633.94 × 9,633.94
  4. Step 4: Simplify right side
    6,221.81x = 92,812,751.75
  5. Step 5: Solve for x
    x = 92,812,751.75/6,221.81
  6. Step 6: Final answer
    x = 14,917.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.